diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0bf4f6e..e6c5958 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -6,7 +6,8 @@
   profile, issue #18.  Big thanks to Felix Uhl for the idea and implementation!
 
 - Added `--sort` option for controlling the order packages are listed in, for
-  issue #17.
+  issue #17.  Supported sort options are package name, and the level of semver
+  version change.
 
 - In the "Version changes" section of a diff, highlight the portions of version
   numbers that have changed, i.e., everything after the part common to all
diff --git a/src/nvd b/src/nvd
index fd0a571..40105cb 100755
--- a/src/nvd
+++ b/src/nvd
@@ -253,6 +253,9 @@ class Version:
         """Returns the version string, empty (not None) if there is no version."""
         return self._text
 
+    def chunks(self) -> list[VersionChunk]:
+        return self._chunks
+
 class Package:
     def __init__(self, *, pname: str, version: Version, store_path: StorePath):
         assert isinstance(pname, str), f"Not a string: {pname!r}"
@@ -405,6 +408,8 @@ class PackageListEntry:
         self._left_packages = left_packages
         self._right_packages = right_packages
 
+        self._first_changed_version_chunk: Optional[int] = None
+
     def get_pname(self) -> str:
         if self._right_packages:
             return self._right_packages[0].pname()
@@ -417,6 +422,31 @@ class PackageListEntry:
     def get_right_packages(self) -> Optional[list[Package]]:
         return self._right_packages
 
+    def find_first_changed_version_chunk(self) -> int:
+        """
+        Returns the position of the earliest version chunk that differs when
+        comparing the maximum version on the left, with the maximum version on
+        the right.
+        """
+
+        if self._right_packages is None:
+            return 0
+
+        if self._first_changed_version_chunk is not None:
+            return self._first_changed_version_chunk
+
+        max_left_ver = self.get_left_packages()[-1].version()
+        max_right_ver = self.get_right_packages()[-1].version()
+        chunks_in_common = 0
+        for left_chunk, right_chunk in zip(max_left_ver.chunks(), max_right_ver.chunks()):
+            if left_chunk == right_chunk:
+                chunks_in_common += 1
+            else:
+                break
+
+        self._first_changed_version_chunk = chunks_in_common
+        return chunks_in_common
+
 class PackageListEntryComparator:
     @abstractmethod
     def name(self) -> str:
@@ -443,6 +473,8 @@ class PackageListEntryReverseComparator(PackageListEntryComparator):
         return self._delegate
 
 class PackageListEntryNameComparator(PackageListEntryComparator):
+    """Sorts package list entries by pname."""
+
     def name(self) -> str:
         return "name"
 
@@ -452,11 +484,31 @@ class PackageListEntryNameComparator(PackageListEntryComparator):
             b.get_left_packages()[0].pname(),
         )
 
+class PackageListEntrySemVerChangeComparator(PackageListEntryComparator):
+    """
+    Sorts package list entries by the level of version change according to
+    Semantic Versioning.
+
+    The maximum version on the left is compared with the maximum version on the
+    right.  Packages whose first version chunks differ are sorted first,
+    followed by packages whose second chunks differ, and so on.
+    """
+
+    def name(self) -> str:
+        return "semver"
+
+    def cmp_packages(self, a: PackageListEntry, b: PackageListEntry) -> int:
+        return cmp(
+            a.find_first_changed_version_chunk(),
+            b.find_first_changed_version_chunk(),
+        )
+
 ALL_SORTS: dict[str, PackageListEntryComparator] = {
     sk.name(): sk
     for sk in (
         # The first one listed here is the default.
         PackageListEntryNameComparator(),
+        PackageListEntrySemVerChangeComparator(),
     )
 }
 
diff --git a/src/nvd.1 b/src/nvd.1
index 45f4141..01da6c0 100644
--- a/src/nvd.1
+++ b/src/nvd.1
@@ -193,7 +193,24 @@ break ties, in order.  Each keyword may be preceeded by a hyphen
 .B \-
 to reverse the regular sort order of the keyword.  The default order is
 .B name,
-which sorts by package name.  Currently only this keyword is supported.
+which sorts by package name.
+.IP
+The keyword
+.B semver
+sorts packages according to how significant their version changes are, by the
+rules of Semantic Versioning, when versions are being compared (with the
+.B diff
+and
+.B history
+commands).  Each package's highest old version is compared with its highest new
+version.  Packages where the first component of these two versions have changed
+are sorted first.  Packages where the second version components differ are
+sorted second, and so on.  Components here are consecutive runs of digits, or of
+letters (but not both), as per the Nix version handling rules.  Only the
+position of the first difference is used; the numeric difference between version
+numbers does not matter.  Because only the highest old and new versions are
+compared, this sort type may not produce ideal results if multiple versions of a
+package are present.
 .TP
 -r|--root <store-path>
 For the