Can I reimburse property taxes of my apartment residence, I paid total of tax more than two thousands annually.

[xmasbaby0]

We need more information because your question is not making your situation clear.   Are you a tenant in an apartment that you rent?  If so, how have you determined that you paid over $2000 in property taxes?   Or do you own a condo that you are calling an apartment?   Or are you asking about a state credit for rent?

You do not "reimburse" property tax you paid.    If you have enough actual itemized deductions to exceed your standard deduction, then you can enter them on your tax return on Schedule A---itemized deductions include such things as mortgage interest, property tax, sales tax, medical expenses, charity donations.    Unless your itemized deductions exceed your standard deduction, they have no effect on your tax due or refund.

2025 STANDARD DEDUCTION AMOUNTS

SINGLE $15,750  (65 or older/legally blind + $2000)

MARRIED FILING SEPARATELY $15,750  (65 or older/legally blind +1600)

MARRIED FILING JOINTLY $31,500  (65 or older/legally blind + $1600)

HEAD OF HOUSEHOLD $23,625 (65 or older/legally blind + $2000)

[Opus 17]

If you itemize your deductions, you can deduct property taxes that you pay to the city or county, if you are the person against whom the taxes are assessed.

That means that if you are a tenant and the property tax bill comes to your landlord, then you can't deduct anything even though part of your rent covers the taxes.  If you own an apartment/condo, and the city or county bills you for the taxes, you can deduct the taxes you pay (including taxes that you pay throw a mortgage escrow -- but you can only deduct the taxes paid to the city or county, not the amount in escrow, because that is still your money until it is used to pay the tax bill). 

If you have some other arrangement, we need more details.