Leicester, who didn't make the best of starts to their Aviva Premiership campaign, will be able to take some pressure off their shoulders in knowing they may have a simpler route to Heineken Cup qualification in the Anglo-Welsh Cup final where they will face Northampton or Scarlets.
Ford, 18, kicked four crucial penalties to help his side to victory. Graham Kitchener was quick to react to a Bath handling mishap for Leicester's only try of the match in the first half.
Bath had dominated throughout the pool stages of this competition but they now face a tough challenge in climbing up the Aviva Premiership table to either challenge for a Heineken Cup qualification finish or a play-off spot having lost this match.
Bath's youngster in the spotlight, Tom Heathcote, kicked three penalties and converted a try from hooker Lee Mears but began to crumble under the pressure of the occasion late on.
Scorers
Bath - Penalties: Heathcote (3); Tries: Mears; Conversions: Heathcote
Leicester - Penalties: Ford (4); Tries: Kitchener