diff --git a/docs/usage/increase-parts-of-a-version_prereleases.rst b/docs/usage/increase-parts-of-a-version_prereleases.rst
index 845f229..c2088c5 100644
--- a/docs/usage/increase-parts-of-a-version_prereleases.rst
+++ b/docs/usage/increase-parts-of-a-version_prereleases.rst
@@ -19,6 +19,6 @@ would perhaps a better fit.
     >>> str(Version.parse("3.4.5-pre.2+build.4").next_version(part="patch"))
     '3.4.5'
     >>> str(Version.parse("3.4.5+build.4").next_version(part="patch"))
-    '3.4.5'
+    '3.4.6'
     >>> str(Version.parse("0.1.4").next_version("prerelease"))
     '0.1.5-rc.1'
diff --git a/src/semver/version.py b/src/semver/version.py
index f9450f9..c3625f4 100644
--- a/src/semver/version.py
+++ b/src/semver/version.py
@@ -471,7 +471,7 @@ def next_version(self, part: str, prerelease_token: str = "rc") -> "Version":
                 f"Invalid part. Expected one of {validparts}, but got {part!r}"
             )
         version = self
-        if (version.prerelease or version.build) and (
+        if version.prerelease and (
             part == "patch"
             or (part == "minor" and version.patch == 0)
             or (part == "major" and version.minor == version.patch == 0)
diff --git a/tests/test_parsing.py b/tests/test_parsing.py
index ddf5219..e4e7858 100644
--- a/tests/test_parsing.py
+++ b/tests/test_parsing.py
@@ -198,6 +198,16 @@ def test_next_version_with_invalid_parts():
         ("0.2.0-rc.1", "patch", "0.2.0"),  # same as "minor"
         ("1.0.0-rc.1", "patch", "1.0.0"),  # same as "major"
         ("1.0.0-rc.1", "minor", "1.0.0"),  # same as "major"
+        # build-only versions: build metadata does not affect precedence,
+        # so next_version should bump the version, not just strip the build
+        ("1.2.3+build.5", "patch", "1.2.4"),
+        ("1.0.0+build.5", "patch", "1.0.1"),
+        ("0.1.4+build.5", "patch", "0.1.5"),
+        ("1.2.0+build.5", "minor", "1.3.0"),
+        ("1.0.0+build.5", "major", "2.0.0"),
+        # prerelease+build: build is stripped along with prerelease during finalization
+        ("1.2.3-rc.1+build.5", "patch", "1.2.3"),
+        ("1.2.3-rc.1+build.5", "prerelease", "1.2.3-rc.2"),
     ],
 )
 def test_next_version_with_versioninfo(version, part, expected):