diff --git a/src/traces/violin/calc.js b/src/traces/violin/calc.js
index 163f50a20ea..e4852c02b8d 100644
--- a/src/traces/violin/calc.js
+++ b/src/traces/violin/calc.js
@@ -83,6 +83,9 @@ function silvermanRule(len, ssd, iqr) {
 function calcBandwidth(trace, cdi, vals) {
     var span = cdi.max - cdi.min;
 
+    // plot single-value violin with bandwidth of 1
+    if(!span) return 1;
+
     // Limit how small the bandwidth can be.
     //
     // Silverman's rule of thumb can be "very" small
diff --git a/test/jasmine/tests/violin_test.js b/test/jasmine/tests/violin_test.js
index e4b588d6693..164c37ad4c3 100644
--- a/test/jasmine/tests/violin_test.js
+++ b/test/jasmine/tests/violin_test.js
@@ -239,6 +239,25 @@ describe('Test violin calc:', function() {
         expect(fullLayout._violinScaleGroupStats.one.maxWidth).toBeCloseTo(0.055);
         expect(fullLayout._violinScaleGroupStats.one.maxCount).toBe(8);
     });
+
+    it('handle multi-box / single-value case', function() {
+        _calc({
+            x: [1, 2, 3, 4, 5, 6],
+            y: [1, 2, 3, 4, 5, 6]
+        });
+
+        expect(cd.length).toBe(6, '# of violins');
+        expect(cd.every(function(d) { return d.bandwidth; })).toBe(true, 'bandwidth');
+    });
+
+    it('handle multi-value / single-but-unique-value case', function() {
+        _calc({
+            y: [1, 1, 1, 1, 1]
+        });
+
+        expect(cd.length).toBe(1, '# of violins');
+        expect(cd[0].bandwidth).toBe(1, 'bandwidth');
+    });
 });
 
 describe('Test violin hover:', function() {