diff --git a/augur/refine.py b/augur/refine.py
index f5fcc2a17..ea0cf2eb3 100644
--- a/augur/refine.py
+++ b/augur/refine.py
@@ -259,6 +259,12 @@ def run(args):
         node_data['clock'] = {'rate': tt.date2dist.clock_rate,
                               'intercept': tt.date2dist.intercept,
                               'rtt_Tmrca': -tt.date2dist.intercept/tt.date2dist.clock_rate}
+        # Include the standard deviation of the clock rate, if the covariance
+        # matrix is available.
+        if hasattr(tt.date2dist, "cov") and tt.date2dist.cov is not None:
+            node_data["clock"]["cov"] = tt.date2dist.cov
+            node_data["clock"]["rate_std"] = np.sqrt(tt.date2dist.cov[0, 0])
+
         if args.coalescent=='skyline':
             try:
                 skyline, conf = tt.merger_model.skyline_inferred(gen=args.gen_per_year, confidence=2)
diff --git a/tests/functional/refine/cram/timetree.t b/tests/functional/refine/cram/timetree.t
index 52fb8afbc..f59c35313 100644
--- a/tests/functional/refine/cram/timetree.t
+++ b/tests/functional/refine/cram/timetree.t
@@ -21,3 +21,23 @@ Confirm that TreeTime trees match expected topology and branch lengths.
 
   $ python3 "$TESTDIR/../../../../scripts/diff_trees.py" "$TESTDIR/../data/tree.nwk" tree.nwk --significant-digits 2
   {}
+
+Confirm that JSON output includes details about the clock rate.
+
+  $ grep -A 15 '\"clock\"' branch_lengths.json
+    "clock": {
+      "cov": [
+        [
+          .*, (re)
+          .* (re)
+        ],
+        [
+          .*, (re)
+          .* (re)
+        ]
+      ],
+      "intercept": .*, (re)
+      "rate": .*, (re)
+      "rate_std": .*, (re)
+      "rtt_Tmrca": .* (re)
+    },
diff --git a/tests/functional/refine/cram/timetree_with_fixed_clock_rate.t b/tests/functional/refine/cram/timetree_with_fixed_clock_rate.t
new file mode 100644
index 000000000..90f7461a0
--- /dev/null
+++ b/tests/functional/refine/cram/timetree_with_fixed_clock_rate.t
@@ -0,0 +1,29 @@
+Setup
+
+  $ source "$TESTDIR"/_setup.sh
+
+Try building a time tree with a fixed clock rate and clock std dev.
+
+  $ ${AUGUR} refine \
+  >  --tree "$TESTDIR/../data/tree_raw.nwk" \
+  >  --alignment "$TESTDIR/../data/aligned.fasta" \
+  >  --metadata "$TESTDIR/../data/metadata.tsv" \
+  >  --output-tree tree.nwk \
+  >  --output-node-data branch_lengths.json \
+  >  --timetree \
+  >  --coalescent opt \
+  >  --date-confidence \
+  >  --date-inference marginal \
+  >  --clock-rate 0.0012 \
+  >  --clock-std-dev 0.0002 \
+  >  --clock-filter-iqd 4 \
+  >  --seed 314159 &> /dev/null
+
+Confirm that JSON output does not include information about the clock rate std dev, since it was provided by the user.
+
+  $ grep -A 4 '\"clock\"' branch_lengths.json
+    "clock": {
+      "intercept": .*, (re)
+      "rate": .*, (re)
+      "rtt_Tmrca": .* (re)
+    },