diff --git a/docs/user-guide/configuration.md b/docs/user-guide/configuration.md
index 3a78094d..b6267bee 100644
--- a/docs/user-guide/configuration.md
+++ b/docs/user-guide/configuration.md
@@ -392,7 +392,7 @@ This is a tree of configs, and for each one the value can be one of the three: `
 >     absolute_links: info
 >   links:
 >     not_found: warn
->     anchors: ignore
+>     anchors: info
 >     absolute_links: info
 >     unrecognized_links: info
 > ```
@@ -407,6 +407,7 @@ The defaults of some of the behaviors already differ from MkDocs 1.4 and below -
 > validation:
 >   absolute_links: ignore
 >   unrecognized_links: ignore
+>   anchors: ignore
 > ```
 <!-- -->
 >! EXAMPLE: **Recommended settings for most sites (maximal strictness):**
diff --git a/mkdocs/config/defaults.py b/mkdocs/config/defaults.py
index ccf1604b..6f1da3db 100644
--- a/mkdocs/config/defaults.py
+++ b/mkdocs/config/defaults.py
@@ -169,7 +169,7 @@ class MkDocsConfig(base.Config):
             """Warning level for when a Markdown doc links to a relative path that doesn't look like
             it could be a valid internal link. For example, if the link ends with `/`."""
 
-            anchors = c._LogLevel(default='ignore')
+            anchors = c._LogLevel(default='info')
             """Warning level for when a Markdown doc links to an anchor that's not present on the target page."""
 
         links = c.SubConfig(LinksValidation)
diff --git a/mkdocs/structure/pages.py b/mkdocs/structure/pages.py
index 121af109..317892ac 100644
--- a/mkdocs/structure/pages.py
+++ b/mkdocs/structure/pages.py
@@ -9,6 +9,7 @@ from urllib.parse import unquote as urlunquote
 from urllib.parse import urljoin, urlsplit, urlunsplit
 
 import markdown
+import markdown.htmlparser  # type: ignore
 import markdown.postprocessors
 import markdown.treeprocessors
 from markdown.util import AMP_SUBSTITUTE
@@ -262,6 +263,9 @@ class Page(StructureItem):
             extension_configs=config['mdx_configs'] or {},
         )
 
+        raw_html_ext = _RawHTMLPreprocessor()
+        raw_html_ext._register(md)
+
         relative_path_ext = _RelativePathTreeprocessor(self.file, files, config)
         relative_path_ext._register(md)
 
@@ -271,7 +275,9 @@ class Page(StructureItem):
         self.content = md.convert(self.markdown)
         self.toc = get_toc(getattr(md, 'toc_tokens', []))
         self._title_from_render = extract_title_ext.title
-        self.present_anchor_ids = relative_path_ext.present_anchor_ids
+        self.present_anchor_ids = (
+            relative_path_ext.present_anchor_ids | raw_html_ext.present_anchor_ids
+        )
         if log.getEffectiveLevel() > logging.DEBUG:
             self.links_to_anchors = relative_path_ext.links_to_anchors
 
@@ -282,7 +288,8 @@ class Page(StructureItem):
     """Links to anchors in other files that this page contains.
 
     The structure is: `{file_that_is_linked_to: {'anchor': 'original_link/to/some_file.md#anchor'}}`.
-    Populated after `.render()`. Populated only if `validation: {anchors: info}` (or greater) is set"""
+    Populated after `.render()`. Populated only if `validation: {anchors: info}` (or greater) is set.
+    """
 
     def validate_anchor_links(self, *, files: Files, log_level: int) -> None:
         if not self.links_to_anchors:
@@ -328,6 +335,8 @@ class _RelativePathTreeprocessor(markdown.treeprocessors.Treeprocessor):
             if anchor := element.get('id'):
                 self.present_anchor_ids.add(anchor)
             if element.tag == 'a':
+                if anchor := element.get('name'):
+                    self.present_anchor_ids.add(anchor)
                 key = 'href'
             elif element.tag == 'img':
                 key = 'src'
@@ -483,6 +492,36 @@ class _RelativePathTreeprocessor(markdown.treeprocessors.Treeprocessor):
         md.treeprocessors.register(self, "relpath", 0)
 
 
+class _RawHTMLPreprocessor(markdown.preprocessors.Preprocessor):
+    def __init__(self) -> None:
+        super().__init__()
+        self.present_anchor_ids: set[str] = set()
+
+    def run(self, lines: list[str]) -> list[str]:
+        parser = _HTMLHandler()
+        parser.feed('\n'.join(lines))
+        parser.close()
+        self.present_anchor_ids = parser.present_anchor_ids
+        return lines
+
+    def _register(self, md: markdown.Markdown) -> None:
+        md.preprocessors.register(
+            self, "mkdocs_raw_html", priority=21  # Right before 'html_block'.
+        )
+
+
+class _HTMLHandler(markdown.htmlparser.htmlparser.HTMLParser):  # type: ignore[name-defined]
+    def __init__(self) -> None:
+        super().__init__()
+        self.present_anchor_ids: set[str] = set()
+
+    def handle_starttag(self, tag: str, attrs: Sequence[tuple[str, str]]) -> None:
+        for k, v in attrs:
+            if k == 'id' or (k == 'name' and tag == 'a'):
+                self.present_anchor_ids.add(v)
+        return super().handle_starttag(tag, attrs)
+
+
 class _ExtractTitleTreeprocessor(markdown.treeprocessors.Treeprocessor):
     title: str | None = None
     postprocessors: Sequence[markdown.postprocessors.Postprocessor] = ()
@@ -505,8 +544,4 @@ class _ExtractTitleTreeprocessor(markdown.treeprocessors.Treeprocessor):
 
     def _register(self, md: markdown.Markdown) -> None:
         self.postprocessors = tuple(md.postprocessors)
-        md.treeprocessors.register(
-            self,
-            "mkdocs_extract_title",
-            priority=-1,  # After the end.
-        )
+        md.treeprocessors.register(self, "mkdocs_extract_title", priority=-1)  # After the end.
diff --git a/mkdocs/tests/build_tests.py b/mkdocs/tests/build_tests.py
index 00cb6320..9e9d6c0a 100644
--- a/mkdocs/tests/build_tests.py
+++ b/mkdocs/tests/build_tests.py
@@ -691,7 +691,6 @@ class BuildTests(PathAssertionMixin, unittest.TestCase):
         cfg = load_config(docs_dir=docs_dir, site_dir=site_dir, validation={'anchors': 'warn'})
         build.build(cfg)
 
-    @unittest.skip("The implementation is not good enough to understand this yet.")  # TODO
     @tempdir(
         files={
             'test/foo.md': '[bar](bar.md#heading2)',
diff --git a/mkdocs/tests/config/config_options_tests.py b/mkdocs/tests/config/config_options_tests.py
index 9d8592f9..119cd726 100644
--- a/mkdocs/tests/config/config_options_tests.py
+++ b/mkdocs/tests/config/config_options_tests.py
@@ -1586,7 +1586,7 @@ class NestedSubConfigTest(TestCase):
                 'not_found': logging.WARNING,
                 'absolute_links': logging.INFO,
                 'unrecognized_links': logging.INFO,
-                'anchors': logging.DEBUG,
+                'anchors': logging.INFO,
             },
         }
 
diff --git a/pyproject.toml b/pyproject.toml
index f1fe5a41..66fc56c6 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -36,12 +36,12 @@ dependencies = [
     "click >=7.0",
     "Jinja2 >=2.11.1",
     "markupsafe >=2.0.1",
-    "Markdown >=3.2.1",
+    "Markdown >=3.3.6",
     "PyYAML >=5.1",
     "watchdog >=2.0",
     "ghp-import >=1.0",
     "pyyaml_env_tag >=0.1",
-    "importlib-metadata >=4.3; python_version < '3.10'",
+    "importlib-metadata >=4.4; python_version < '3.10'",
     "packaging >=20.5",
     "mergedeep >=1.3.4",
     "pathspec >=0.11.1",
@@ -57,12 +57,12 @@ min-versions = [
     "click ==7.0",
     "Jinja2 ==2.11.1",
     "markupsafe ==2.0.1",
-    "Markdown ==3.2.1",
+    "Markdown ==3.3.6",
     "PyYAML ==5.1",
     "watchdog ==2.0",
     "ghp-import ==1.0",
     "pyyaml_env_tag ==0.1",
-    "importlib-metadata ==4.3; python_version < '3.10'",
+    "importlib-metadata ==4.4; python_version < '3.10'",
     "packaging ==20.5",
     "mergedeep ==1.3.4",
     "pathspec ==0.11.1",