It was a remarkable turnaround for Villa, who'd gone three games without scoring a goal.
The omens were not promising for Villa manager Paul Lambert against his former club when Wes Hoolahan gave visitors Norwich a third minute lead.
But a rainswept Villa Park then saw Benteke score two goals in three minutes and before half time the Birmingham club were 4-1 in front thanks to Leandro Bacuna and an own-goal from Sebastien Bassong.
Defeat left Norwich just four points above the bottom three but having played a game more than nearest pursuers Crystal Palace and West Bromwich Albion, and two games more than beaten League Cup finalists Sunderland.
The 30-year-old, who was Palace's leading scorer last season with 31 goals but had not played since May because of injury and had only returned to action against Manchester United last weekend, slotted home the penalty eight minutes from time.
Jonathan De Guzman had given the hosts the lead in the first-half but Murray's goal, only Palace's sixth away goal of the season and first since December 26, earned his side a valuable point in the relegation battle.
Swansea are five points above the relegation places as a result while Palace, who have played a game fewer than the Swans, are three points clear of third from bottom Sunderland.
Roberto Soldado ended his personal goal-drought and kept Tottenham Hotspur's fading hopes of a top four place alive with the only goal in a 1-0 victory over relegation-threatened Cardiff City at White Hart Lane.
Sunday's win helped consolidate Tottenham's hold on fifth place, although they remain four points adrift of Manchester City, who lie fourth having played two games fewer than Spurs.