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If you claim your father as a dependent on your tax return, it won’t affect his Medicaid eligibility in future years. But you may run into problems claiming him as a dependent in the same year as he’s receiving Medicaid benefits. If the dollar value of Medicaid services exceeds half of your parent’s support, you can’t claim him as a dependent. Medicaid eligibility requirements are different from state to state, so you’ll want to talk to your state’s department of Human Services about it.