Terrell Owens -- CASH REWARD ... For Visiting Your Love Child

Screw Geico, Terrell Owens can save a whole bunch of money on child support ... just by visiting his kid -- this according court docs obtained by TMZ Sports.

T.O. -- who's had some serious money issues in his life -- just cut a huge deal with one of his baby mama's who thinks the best way to get the ex-NFL star to visit his kid is by luring him with cash.

Here's the deal ... according to court docs, obtained by TMZ Sports, Terrell has to shell out $2,250-per-month to Melanie Smith, one of T.O.'s 4 baby mamas.

But the catch ... if T.O. flies to Georgia and spends at least 6 hours with his daughter, he may deduct the cost of the flight, up to $250, from the next month's child support check.

T.O. can only use visit deduction 3-times per year -- and only once a month.

If a cash discount can't inspire T.O. to be a good dad, what will?!