diff --git a/server/src/main/java/org/elasticsearch/index/mapper/GeoPointFieldMapper.java b/server/src/main/java/org/elasticsearch/index/mapper/GeoPointFieldMapper.java
index eae0dcf7efad1..121b0eb0da2b4 100644
--- a/server/src/main/java/org/elasticsearch/index/mapper/GeoPointFieldMapper.java
+++ b/server/src/main/java/org/elasticsearch/index/mapper/GeoPointFieldMapper.java
@@ -9,6 +9,7 @@
 
 import org.apache.lucene.document.LatLonDocValuesField;
 import org.apache.lucene.document.LatLonPoint;
+import org.apache.lucene.document.ShapeField;
 import org.apache.lucene.document.StoredField;
 import org.apache.lucene.geo.LatLonGeometry;
 import org.apache.lucene.index.LeafReaderContext;
@@ -28,6 +29,7 @@
 import org.elasticsearch.common.xcontent.support.MapXContentParser;
 import org.elasticsearch.geometry.Geometry;
 import org.elasticsearch.geometry.Point;
+import org.elasticsearch.geometry.ShapeType;
 import org.elasticsearch.index.fielddata.IndexFieldData;
 import org.elasticsearch.index.fielddata.plain.AbstractLatLonPointIndexFieldData;
 import org.elasticsearch.index.query.SearchExecutionContext;
@@ -260,9 +262,17 @@ public Query geoShapeQuery(Geometry shape, String fieldName, ShapeRelation relat
             if (luceneGeometries.length == 0) {
                 return new MatchNoDocsQuery();
             }
-            Query query = LatLonPoint.newGeometryQuery(fieldName, relation.getLuceneRelation(), luceneGeometries);
+            final ShapeField.QueryRelation luceneRelation;
+            if (shape.type() == ShapeType.POINT && relation == ShapeRelation.INTERSECTS) {
+                // For point queries and intersects, lucene does not match points that are encoded to Integer.MAX_VALUE.
+                // We use contains instead.
+                luceneRelation = ShapeField.QueryRelation.CONTAINS;
+            } else {
+                luceneRelation = relation.getLuceneRelation();
+            }
+            Query query = LatLonPoint.newGeometryQuery(fieldName, luceneRelation, luceneGeometries);
             if (hasDocValues()) {
-                Query dvQuery = LatLonDocValuesField.newSlowGeometryQuery(fieldName, relation.getLuceneRelation(), luceneGeometries);
+                Query dvQuery = LatLonDocValuesField.newSlowGeometryQuery(fieldName, luceneRelation, luceneGeometries);
                 query = new IndexOrDocValuesQuery(query, dvQuery);
             }
             return query;
diff --git a/server/src/test/java/org/elasticsearch/search/geo/GeoPointShapeQueryTests.java b/server/src/test/java/org/elasticsearch/search/geo/GeoPointShapeQueryTests.java
index 5ab6abe7f200c..98e8985a106b2 100644
--- a/server/src/test/java/org/elasticsearch/search/geo/GeoPointShapeQueryTests.java
+++ b/server/src/test/java/org/elasticsearch/search/geo/GeoPointShapeQueryTests.java
@@ -35,7 +35,6 @@ protected void createMapping(String indexName, String type, String fieldName, Se
         client().admin().indices().prepareCreate(defaultIndexName).addMapping(type, xcb).get();
     }
 
-    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/75103")
     public void testFieldAlias() throws IOException {
         String mapping = Strings.toString(XContentFactory.jsonBuilder()
             .startObject()