How much money can my father give me without being burdened with gift tax?

Mr. Barnhill is correct, but to clarify, as long as your father does not give you more than $14,000. a year that gift is not counted in the lifetime total. Also if your mother is still alive and married to your father, with her permission, he could double the amount as a "split gift", and still have no tax liability.

In 2013, your Father can give you $14,000 in cash and noncash gifts without having a taxable gift.  In 2013, he can give you $5,250,000 in TAXABLE gifts without owing any gift tax.  If he gave you $5,250,001 in taxable gifts, he would owe $.40 in gift taxes.  The $5 million is a lifetime amount, so as long as your Father does not give you more than $5 million+ during his life or at death, he would not owe any gift or estate taxes.