Real Housewives Star Scores Victory in Child Support War with NFL Ex

According to legal docs obtained by TMZ ... Bob admits he failed to make 38 monthly child support payments of $2,142 to the "Real Housewives of Atlanta" star ... more than $81k.

Bob claimed he simply didn't have the money -- and had asked the court to lower his obligation ... but that was denied.

Now, the two sides have struck a deal in which Bob has agreed to hand over $75k before Nov. 11 ... or face the consequences in court.

In addition to the $75k, Bob has also agreed to pay $1,000 per month for the next 12 months -- before reverting back to the original $2,142.