diff --git a/src/traces/scatter3d/convert.js b/src/traces/scatter3d/convert.js
index 1a7fdc7968a..c039b85836a 100644
--- a/src/traces/scatter3d/convert.js
+++ b/src/traces/scatter3d/convert.js
@@ -116,17 +116,17 @@ function constructDelaunay(points, color, axis) {
 function calculateErrorParams(errors) {
     var capSize = [0.0, 0.0, 0.0],
         color = [[0, 0, 0], [0, 0, 0], [0, 0, 0]],
-        lineWidth = [0.0, 0.0, 0.0];
+        lineWidth = [1.0, 1.0, 1.0];
 
     for(var i = 0; i < 3; i++) {
         var e = errors[i];
 
-        if(e && e.copy_zstyle !== false) e = errors[2];
-        if(!e) continue;
+        if(e && e.copy_zstyle !== false && errors[2].visible !== false) e = errors[2];
+        if(!e || !e.visible) continue;
 
         capSize[i] = e.width / 2;  // ballpark rescaling
         color[i] = str2RgbaArray(e.color);
-        lineWidth = e.thickness;
+        lineWidth[i] = e.thickness;
 
     }
 
diff --git a/test/image/baselines/gl3d_errorbars_xy.png b/test/image/baselines/gl3d_errorbars_xy.png
new file mode 100644
index 00000000000..fbc681e36dd
Binary files /dev/null and b/test/image/baselines/gl3d_errorbars_xy.png differ
diff --git a/test/image/mocks/gl3d_errorbars_xy.json b/test/image/mocks/gl3d_errorbars_xy.json
new file mode 100644
index 00000000000..1330a25ed92
--- /dev/null
+++ b/test/image/mocks/gl3d_errorbars_xy.json
@@ -0,0 +1,17 @@
+{
+    "data": [{
+        "type": "scatter3d",
+        "mode": "markers",
+        "x": [5, 10],
+        "y": [5, 10],
+        "z": [5, 10],
+        "error_x": {
+            "type": "sqrt",
+            "color": "red"
+        },
+        "error_y": {
+            "type": "sqrt"
+        }
+    }],
+    "layout": {}
+}
diff --git a/test/image/mocks/gl3d_errorbars_zx.json b/test/image/mocks/gl3d_errorbars_zx.json
index 54b592faa9e..24867638d66 100644
--- a/test/image/mocks/gl3d_errorbars_zx.json
+++ b/test/image/mocks/gl3d_errorbars_zx.json
@@ -35,7 +35,8 @@
             "error_x": {
                 "type": "constant",
                 "value": 0.1,
-                "color": "black"
+                "color": "black",
+                "thickness": 10
             },
             "marker": {
                 "symbol": "square"