diff --git a/lib/saxes.js b/lib/saxes.js
index 011dead6..5d76168f 100644
--- a/lib/saxes.js
+++ b/lib/saxes.js
@@ -83,6 +83,7 @@ exports.EVENTS = [
 ];
 
 const NL = 0xA;
+const CR = 0xD;
 const SPACE = 0x20;
 const BANG = 0x21;
 const DQUOTE = 0x22;
@@ -105,7 +106,7 @@ function isQuote(c) {
 }
 
 const QUOTES = [DQUOTE, SQUOTE];
-const S = [SPACE, NL, 0xD, 9];
+const S = [SPACE, NL, CR, 9];
 
 const TEXT_TERMINATOR = [LESS, AMP];
 const DOCTYPE_TERMINATOR = [...QUOTES, OPEN_BRACKET, GREATER];
@@ -305,6 +306,7 @@ class SaxesParser {
     this.chunk = "";
     this.chunkPosition = 0;
     this.i = 0;
+    this.trailingCR = false;
     /**
      * A map of entity name to expansion.
      *
@@ -479,9 +481,13 @@ class SaxesParser {
     if (this.closed) {
       return this.fail("cannot write after close; assign an onready handler.");
     }
+
+    let end = false;
     if (chunk === null) {
-      return this.end();
+      end = true;
+      chunk = "";
     }
+
     if (typeof chunk === "object") {
       chunk = chunk.toString();
     }
@@ -491,7 +497,23 @@ class SaxesParser {
     // than the current repeated calls to ``codePointAt``. As of August 2018, it
     // isn't. (There may be Node-specific code that would perform faster than
     // ``Array.from`` but don't want to be dependent on Node.)
-    const limit = this.limit = chunk.length;
+
+    let limit = chunk.length;
+
+    if (this.trailingCR) {
+      // The previous chunk had a trailing cr. We need to handle it now.
+      chunk = `\r${chunk}`;
+    }
+
+    if (!end && chunk[limit - 1] === CR) {
+      // The chunk ends with a trailing CR. We cannot know how to handle it
+      // until we get the next chunk or the end of the stream. So save it for
+      // later.
+      limit--;
+      this.trailingCR = true;
+    }
+    this.limit = limit;
+
     this.chunk = chunk;
     this.i = 0;
     while (this.i < limit) {
@@ -499,7 +521,7 @@ class SaxesParser {
     }
     this.chunkPosition += limit;
 
-    return this;
+    return end ? this.end() : this;
   }
 
   /**
@@ -521,12 +543,29 @@ class SaxesParser {
    * @returns {number} The character read.
    */
   getCode() {
-    const { chunk, i } = this;
+    const { chunk } = this;
+    let { i } = this;
     // Using charCodeAt and handling the surrogates ourselves is faster
     // than using codePointAt.
     let code = chunk.charCodeAt(i);
     let skip = 1;
 
+    if (code === CR) {
+      // We may get undefined if we read past the end of the chunk, which is
+      // fine.
+      const next = chunk.charCodeAt(i + 1);
+      if (next === NL) {
+        // A \r\n sequence is converted to \n so we have to skip over the next
+        // character. We already know it has a size of 1 so ++ is fine here.
+        i++;
+      }
+      // Otherwise, a \r is just converted to \n, so we don't have to skip
+      // ahead.
+
+      // In either case, \r becomes \n.
+      code = NL;
+    }
+
     if (code === NL) {
       this.line++;
       this.column = 0;
diff --git a/test/eol-handling.js b/test/eol-handling.js
new file mode 100644
index 00000000..8a07e9d3
--- /dev/null
+++ b/test/eol-handling.js
@@ -0,0 +1,58 @@
+"use strict";
+
+const { test } = require(".");
+
+/* eslint-disable linebreak-style */
+const xml = `\
+<?xml version="1.0" encoding="utf-8"?>
+
+<moo a="12
+        3"
+     >
+  abc
+  def&#xD;
+  ghi

+  xx
xx
+</moo>
+`;
+/* eslint-enable linebreak-style */
+
+const expect = [
+  ["text", "\n\n"],
+  ["opentagstart", { name: "moo", attributes: {} }],
+  ["opentag", {
+    name: "moo",
+    attributes: {
+      a: "12\n        3",
+    },
+    isSelfClosing: false,
+  }],
+  ["text", "\n  abc\n  def\r\n  ghi\n\n  xx\nxx\n"],
+  ["closetag", {
+    name: "moo",
+    attributes: {
+      a: "12\n        3",
+    },
+    isSelfClosing: false,
+  }],
+  ["text", "\n"],
+];
+
+describe("eol handling", () => {
+  test({
+    name: "one chunk",
+    xml,
+    expect,
+  });
+
+  test({
+    name: "char-by-char",
+    expect,
+    fn(parser) {
+      for (const x of xml) {
+        parser.write(x);
+      }
+      parser.close();
+    },
+  });
+});
diff --git a/test/parser-position.js b/test/parser-position.js
index bf826941..60995ff6 100644
--- a/test/parser-position.js
+++ b/test/parser-position.js
@@ -7,14 +7,19 @@ const { test } = require(".");
 function testPosition(name, chunks, expectedEvents) {
   it(name, () => {
     const parser = new saxes.SaxesParser();
-    for (const expectation of expectedEvents) {
-      parser[`on${expectation[0]}`] = function handler() {
+    let expectedIx = 0;
+    for (const ev of saxes.EVENTS) {
+      // eslint-disable-next-line no-loop-func
+      parser[`on${ev}`] = () => {
+        const expectation = expectedEvents[expectedIx++];
+        expect(expectation[0]).to.equal(ev);
         // eslint-disable-next-line guard-for-in
         for (const prop in expectation[1]) {
           expect(parser[prop]).to.deep.equal(expectation[1][prop]);
         }
       };
     }
+
     for (const chunk of chunks) {
       parser.write(chunk);
     }
@@ -40,6 +45,19 @@ describe("parser position", () => {
       ["closetag", { position: 19 }],
     ]);
 
+  testPosition(
+    "with various newlines",
+    ["<div>abcde\r\n<foo/>f\rgh</div>"], [
+      ["opentagstart", { position: 5, line: 1, column: 5 }],
+      ["opentag", { position: 5, line: 1, column: 5 }],
+      ["text", { position: 17, line: 2, column: 5 }],
+      ["opentagstart", { position: 17, line: 2, column: 5 }],
+      ["opentag", { position: 18, line: 2, column: 6 }],
+      ["closetag", { position: 18, line: 2, column: 6 }],
+      ["text", { position: 28, line: 3, column: 8 }],
+      ["closetag", { position: 28, line: 3, column: 8 }],
+    ]);
+
   test({
     name: "pi before root",
     xml: "",