Cameon White's decision to bat first backfired as James Faulkner picked up two wickets in the 2nd over before Watson dismissed White for 0.
Hanuma Vihari and Biplab Samantray got together rebuilding the Hyderabad innings compiling a 44-run stand before Vihari got out for 19.
Biplab Samantray scored 55 runs to lead Sunrisers to a respectable score of 136 for 9 with Darren Sammy (23) and Thisara Perera (17) contributing lower down the order.
James Faulkner was once again the most impressive bowler for Rajasthan finishing with figures off 4-1-16-5.
Chasing 137 to win, Rajasthan were off to a slow start scoring 39 off 7.3 overs losing Rahul Dravid for 25.
Amit Mishra bowled a match winning spell off 4-0-8-2 taking wickets of Sanju Samson and Sachin Baby earning him the man-of-the-match award.
Dale Steyn, Karan Sharma and Thisara Perera too put up solid bowling performances taking two wickets each.
With 18 points from 15 matches, Hyderabad are now two points ahead of nearest rival, Royal Challengers Bangalore, and have one more game in hand.