diff --git a/lib/full-site-editing/block-templates.php b/lib/full-site-editing/block-templates.php
index e017fc9dfd5e6..5d67b13eb4eda 100644
--- a/lib/full-site-editing/block-templates.php
+++ b/lib/full-site-editing/block-templates.php
@@ -253,10 +253,16 @@ function _gutenberg_build_template_result_from_file( $template_file, $template_t
 	$template->title          = ! empty( $template_file['title'] ) ? $template_file['title'] : $template_file['slug'];
 	$template->status         = 'publish';
 	$template->has_theme_file = true;
+	$template->is_custom      = true;
 
 	if ( 'wp_template' === $template_type && isset( $default_template_types[ $template_file['slug'] ] ) ) {
 		$template->description = $default_template_types[ $template_file['slug'] ]['description'];
 		$template->title       = $default_template_types[ $template_file['slug'] ]['title'];
+		$template->is_custom   = false;
+	}
+
+	if ( 'wp_template' === $template_type && isset( $template_file['postTypes'] ) ) {
+		$template->post_types = $template_file['postTypes'];
 	}
 
 	if ( 'wp_template_part' === $template_type && isset( $template_file['area'] ) ) {
@@ -274,7 +280,8 @@ function _gutenberg_build_template_result_from_file( $template_file, $template_t
  * @return WP_Block_Template|WP_Error Template.
  */
 function _gutenberg_build_template_result_from_post( $post ) {
-	$terms = get_the_terms( $post, 'wp_theme' );
+	$default_template_types = gutenberg_get_default_template_types();
+	$terms                  = get_the_terms( $post, 'wp_theme' );
 
 	if ( is_wp_error( $terms ) ) {
 		return $terms;
@@ -300,6 +307,11 @@ function _gutenberg_build_template_result_from_post( $post ) {
 	$template->title          = $post->post_title;
 	$template->status         = $post->post_status;
 	$template->has_theme_file = $has_theme_file;
+	$template->is_custom      = true;
+
+	if ( 'wp_template' === $post->post_type && isset( $default_template_types[ $template->slug ] ) ) {
+		$template->is_custom = false;
+	}
 
 	if ( 'wp_template_part' === $post->post_type ) {
 		$type_terms = get_the_terms( $post, 'wp_template_part_area' );
@@ -317,9 +329,10 @@ function _gutenberg_build_template_result_from_post( $post ) {
  * @param array $query {
  *     Optional. Arguments to retrieve templates.
  *
- *     @type array  $slug__in List of slugs to include.
- *     @type int    $wp_id    Post ID of customized template.
- *     @type string $area     A 'wp_template_part_area' taxonomy value to filter by (for wp_template_part template type only).
+ *     @type array  $slug__in  List of slugs to include.
+ *     @type int    $wp_id     Post ID of customized template.
+ *     @type string $area      A 'wp_template_part_area' taxonomy value to filter by (for wp_template_part template type only).
+ *     @type string $post_type Post type to get the templates for.
  * }
  * @param array $template_type wp_template or wp_template_part.
  *
@@ -340,6 +353,7 @@ function gutenberg_get_block_templates( $query = array(), $template_type = 'wp_t
 	 *
 	 *     @type array  $slug__in List of slugs to include.
 	 *     @type int    $wp_id Post ID of customized template.
+	 *     @type string $post_type Post type to get the templates for.
 	 * }
 	 * @param array $template_type wp_template or wp_template_part.
 	 */
@@ -348,6 +362,7 @@ function gutenberg_get_block_templates( $query = array(), $template_type = 'wp_t
 		return $templates;
 	}
 
+	$post_type     = isset( $query['post_type'] ) ? $query['post_type'] : '';
 	$wp_query_args = array(
 		'post_status'    => array( 'auto-draft', 'draft', 'publish' ),
 		'post_type'      => $template_type,
@@ -387,14 +402,33 @@ function gutenberg_get_block_templates( $query = array(), $template_type = 'wp_t
 	foreach ( $template_query->posts as $post ) {
 		$template = _gutenberg_build_template_result_from_post( $post );
 
-		if ( ! is_wp_error( $template ) ) {
-			$query_result[] = $template;
+		if ( is_wp_error( $template ) ) {
+			continue;
+		}
+
+		if ( $post_type && ! $template->is_custom ) {
+			continue;
 		}
+
+		$query_result[] = $template;
 	}
 
 	if ( ! isset( $query['wp_id'] ) ) {
 		$template_files = _gutenberg_get_template_files( $template_type );
 		foreach ( $template_files as $template_file ) {
+			$template = _gutenberg_build_template_result_from_file( $template_file, $template_type );
+
+			if ( $post_type && ! $template->is_custom ) {
+				continue;
+			}
+
+			if ( $post_type &&
+				isset( $template->post_types ) &&
+				! in_array( $post_type, $template->post_types, true )
+			) {
+				continue;
+			}
+
 			$is_not_custom   = false === array_search(
 				wp_get_theme()->get_stylesheet() . '//' . $template_file['slug'],
 				array_column( $query_result, 'id' ),
@@ -406,7 +440,7 @@ function gutenberg_get_block_templates( $query = array(), $template_type = 'wp_t
 				! isset( $query['area'] ) || $template_file['area'] === $query['area'];
 			$should_include  = $is_not_custom && $fits_slug_query && $fits_area_query;
 			if ( $should_include ) {
-				$query_result[] = _gutenberg_build_template_result_from_file( $template_file, $template_type );
+				$query_result[] = $template;
 			}
 		}
 	}
diff --git a/lib/full-site-editing/class-gutenberg-rest-templates-controller.php b/lib/full-site-editing/class-gutenberg-rest-templates-controller.php
index 20072d1253af5..dafb15509bd01 100644
--- a/lib/full-site-editing/class-gutenberg-rest-templates-controller.php
+++ b/lib/full-site-editing/class-gutenberg-rest-templates-controller.php
@@ -141,6 +141,10 @@ public function get_items( $request ) {
 		if ( isset( $request['area'] ) ) {
 			$query['area'] = $request['area'];
 		}
+		if ( isset( $request['post_type'] ) ) {
+			$query['post_type'] = $request['post_type'];
+		}
+
 		$templates = array();
 		foreach ( gutenberg_get_block_templates( $query, $this->post_type ) as $template ) {
 			$data        = $this->prepare_item_for_response( $template, $request );
@@ -483,11 +487,19 @@ protected function get_available_actions() {
 	 */
 	public function get_collection_params() {
 		return array(
-			'context' => $this->get_context_param(),
-			'wp_id'   => array(
+			'context'   => $this->get_context_param(),
+			'wp_id'     => array(
 				'description' => __( 'Limit to the specified post id.', 'gutenberg' ),
 				'type'        => 'integer',
 			),
+			'area'      => array(
+				'description' => __( 'Limit to the specified template part area.', 'gutenberg' ),
+				'type'        => 'string',
+			),
+			'post_type' => array(
+				'description' => __( 'Post type to get the templates for.', 'gutenberg' ),
+				'type'        => 'string',
+			),
 		);
 	}
 
diff --git a/lib/full-site-editing/class-wp-block-template.php b/lib/full-site-editing/class-wp-block-template.php
index d8c9d5c54a2b9..176e1105554df 100644
--- a/lib/full-site-editing/class-wp-block-template.php
+++ b/lib/full-site-editing/class-wp-block-template.php
@@ -87,4 +87,11 @@ class WP_Block_Template {
 	 * @var boolean
 	 */
 	public $has_theme_file;
+
+	/**
+	 * Whether a template is a custom template.
+	 *
+	 * @var bool
+	 */
+	public $is_custom = true;
 }
diff --git a/lib/full-site-editing/page-templates.php b/lib/full-site-editing/page-templates.php
index caac07dc98481..1e2fc63264b1b 100644
--- a/lib/full-site-editing/page-templates.php
+++ b/lib/full-site-editing/page-templates.php
@@ -8,20 +8,22 @@
 /**
  * Load the page templates in Gutenberg.
  *
- * @param array $templates Page templates.
+ * @param string[] $templates Page templates.
+ * @param WP_Theme $theme     WP_Theme instance.
+ * @param WP_Post  $post      The post being edited, provided for context, or null.
+ * @param string   $post_type Post type to get the templates for.
  * @return array (Maybe) modified page templates array.
  */
-function gutenberg_load_block_page_templates( $templates ) {
+function gutenberg_load_block_page_templates( $templates, $theme, $post, $post_type ) {
 	if ( ! gutenberg_supports_block_templates() ) {
 		return $templates;
 	}
 
-	$block_templates = gutenberg_get_block_templates( array(), 'wp_template' );
+	$block_templates = gutenberg_get_block_templates( array( 'post_type' => $post_type ), 'wp_template' );
 	foreach ( $block_templates as $template ) {
-		// TODO: exclude templates that are not concerned by the current post type.
 		$templates[ $template->slug ] = $template->title;
 	}
 
 	return $templates;
 }
-add_filter( 'theme_templates', 'gutenberg_load_block_page_templates' );
+add_filter( 'theme_templates', 'gutenberg_load_block_page_templates', 10, 4 );
diff --git a/packages/edit-post/src/components/sidebar/template/index.js b/packages/edit-post/src/components/sidebar/template/index.js
index db4f55403da39..73c046afbaaaf 100644
--- a/packages/edit-post/src/components/sidebar/template/index.js
+++ b/packages/edit-post/src/components/sidebar/template/index.js
@@ -47,13 +47,15 @@ export function TemplatePanel() {
 			getCurrentPostType,
 		} = select( editorStore );
 		const { getPostType, getEntityRecords, canUser } = select( coreStore );
-		const _isViewable =
-			getPostType( getCurrentPostType() )?.viewable ?? false;
+		const currentPostType = getCurrentPostType();
+		const _isViewable = getPostType( currentPostType )?.viewable ?? false;
 		const _supportsTemplateMode =
 			select( editorStore ).getEditorSettings().supportsTemplateMode &&
 			_isViewable;
 
-		const wpTemplates = getEntityRecords( 'postType', 'wp_template' );
+		const wpTemplates = getEntityRecords( 'postType', 'wp_template', {
+			post_type: currentPostType,
+		} );
 
 		const newAvailableTemplates = fromPairs(
 			( wpTemplates || [] ).map( ( { slug, title } ) => [