@@ -792,3 +792,25 @@ def test_read_table_with_nrows(tabledata_format, nrows):
 
     assert np.array_equal(column.mask, values.mask)
     assert np.array_equal(column.filled(-1), values.filled(-1))
+
+
+def test_read_bad_value_with_invalid_mask():
+    """
+    Test that parse_single_table with invalid="mask" on a TABLEDATA row whose
+    middle cell is not an integer masks that cell and keeps the cells after it
+    in their own columns.
+    """
+    content = b"""<?xml version="1.0"?>
+<VOTABLE version="1.4" xmlns="http://www.ivoa.net/xml/VOTable/v1.3">
+<RESOURCE><TABLE>
+<FIELD name="a" datatype="int"/>
+<FIELD name="b" datatype="int"/>
+<FIELD name="c" datatype="int"/>
+<DATA><TABLEDATA>
+<TR><TD>1</TD><TD>bad</TD><TD>3</TD></TR>
+<TR><TD>4</TD><TD>5</TD><TD>6</TD></TR>
+</TABLEDATA></DATA></TABLE></RESOURCE></VOTABLE>
+"""
+    array = parse_single_table(io.BytesIO(content), invalid="mask").array
+
+    assert array.tolist() == [(1, None, 3), (4, 5, 6)]
@@ -3125,7 +3125,7 @@ def _parse_tabledata(self, iterator, colnumbers, config):
                                 else:
                                     row[j] = value
                                     row_mask[j] = mask_value
-                                    j += 1
+                                j += 1
                         elif tag == "TR":
                             break
                         else:
 
@@ -0,0 +1,4 @@
+Reading a TABLEDATA table with ``invalid="mask"`` put values in the wrong
+columns since astropy 7.0: when a value could not be converted, each value
+after it in the row moved one column to the left. That value is now masked
+and the rest of the row stays in place.