diff --git a/docs/about/release-notes.md b/docs/about/release-notes.md
index 4cc040ab..06da0671 100644
--- a/docs/about/release-notes.md
+++ b/docs/about/release-notes.md
@@ -23,6 +23,12 @@ The current members of the MkDocs-NG team.
 
 * [@shenxianpeng](https://github.com/shenxianpeng)
 
+## Version 1.7.2 (Unreleased)
+
+### Fixed
+
+* Fix malformed URLs (e.g., unterminated IPv6 literals) crashing the entire build. #45
+
 ## Version 1.7.1 (2026-04-25)
 
 ### Fixed
diff --git a/mkdocs/structure/pages.py b/mkdocs/structure/pages.py
index ca37d797..8fd47dd7 100644
--- a/mkdocs/structure/pages.py
+++ b/mkdocs/structure/pages.py
@@ -441,7 +441,20 @@ def _possible_target_uris(
                     tried.add(guess)
 
     def path_to_url(self, url: str) -> str:
-        scheme, netloc, path, query, anchor = urlsplit(url)
+        try:
+            scheme, netloc, path, query, anchor = urlsplit(url)
+        except ValueError as e:
+            # The URL parser raised on a malformed link target — for example
+            # `[click here](http://[::1)`. Per mkdocs#3939, a single bad
+            # link should not crash the entire build. Log a warning that
+            # mentions the file and the offending URL, then leave the link
+            # text untouched in the rendered HTML so the rest of the page
+            # still builds.
+            log.warning(
+                f"Doc file '{self.file.src_uri}' contains an invalid URL '{url}': {e}. "
+                "The link is being left unchanged."
+            )
+            return url
 
         absolute_link = None
         warning_level, warning = 0, ""
diff --git a/mkdocs/tests/build_tests.py b/mkdocs/tests/build_tests.py
index 504a662b..dae3b9f3 100644
--- a/mkdocs/tests/build_tests.py
+++ b/mkdocs/tests/build_tests.py
@@ -551,6 +551,28 @@ def on_page_context(*args, **kwargs):
 
     # Test build.build
 
+    @tempdir(files={"index.md": "[click here](http://[::1)\n"})
+    @tempdir()
+    def test_build_warns_and_continues_on_invalid_link_url(self, site_dir, docs_dir):
+        # Regression for mkdocs/mkdocs#3939: a single markdown link with a
+        # malformed URL (e.g. an unterminated IPv6 literal) used to crash
+        # the entire build with `ValueError: Invalid IPv6 URL`. Per the
+        # maintainer's direction on the issue, mkdocs should now log a
+        # warning that names the file and the offending URL and keep
+        # building.
+        cfg = load_config(docs_dir=docs_dir, site_dir=site_dir, nav=["index.md"])
+        with self.assertLogs("mkdocs", level="WARNING") as cm:
+            build.build(cfg)
+        warning_messages = [
+            r.getMessage() for r in cm.records if r.levelname == "WARNING"
+        ]
+        self.assertTrue(
+            any("'index.md'" in m and "http://[::1" in m for m in warning_messages),
+            f"Expected a warning naming index.md and the bad URL, got: {warning_messages}",
+        )
+        # The page was still produced.
+        self.assertPathIsFile(site_dir, "index.html")
+
     @tempdir(
         files={
             "index.md": "page content",