Bath kept their hopes of domestic glory alive with a decisive second-half comeback as they inflicted on Newcastle a first league defeat since November.
Title-challengers Leicester and Harlequins have both seen unbeaten away runs erased at Kingston Park recently but, with their season on the brink of collapsed, Bath rallied to regain their place in the top four.
Mickey Young had created one and scored the other as the Falcons established a commanding 14-0 lead at half-time.
But with their play-off ambitions wavering, Bath fought back after the break with tries from Michael Claassens and Shontayne Hape.
And, after a torrid day in front of goal for Bath's kickers, Ryan Davis converted a penalty to edge out the Falcons 15-14.
After losing their Under-20s Six Nations crown to England Under-20s in a thrilling final round, France Under-20s lock Tristan Labouteley insists his side will be out for revenge at this year's Junior World Championship.