correction must check the cell that it is not empty as well
like Chip indicated in his reply.

Sub Del_rows_with_zero_in_column_of_activecell()
Const StartRow As Long = 1 'Row to Start looking at
Dim StopRow As Long
Dim Col As Long
Col = ActiveCell.Column
StopRow = Cells(Rows.Count, Col).End(xlUp).Row
Dim cnt As Long
For cnt = StopRow To StartRow Step -1
If Not IsEmpty(Cells(cnt, Col)) Then
If IsNumeric(Cells(cnt, Col)) Then
If Cells(cnt, Col) = 0 Then Rows(cnt).Delete
End If
End If
Next cnt
End Sub