The local tax information is in boxes 18, 19, and 20 on the W-2 form. It might be alongside the state information, which is in boxes 15, 16, and 17. Employers and payroll services don't all use the standard IRS W-2 form, so the layout can vary.
Here is a screen shot of where your local tax is on your W-2.
**Mark the post that answers your question by clicking on "Mark as Best Answer"