Do I claim my spouses social security income on my tax return

@perli649 , MFJ filing status requires that  recognize  both of your world income .  Thus  you report  your spouse's  all income including SSA.

Yes, enter his Social Security income. Navigate to: Federal > Wages & Income  > Retirement Plans and Social Security > Social Security (SSA-1099, RRB-1099). Enter his SS income under his name, and yours under your name, if you also received any.