After putting on board a modest 141 for 7, SRH returned to limit RCB to 137 for six for only their third win in the league.
KKR first produced a clinical bowling effort to restrict SRH to a below-par 115 for eight and then rode on Gill's 57 off 51 balls to reach home comfortably.
The top seven batsmen led by England's Dawid Malan maintained their rankings while South African keeper-batter Quinton de Kock is now ranked eighth while West Indies Evin Lewis has dropped a place to be ninth in the list.
Virat Kohli leads, comeback for R Ashwin. Here is a look at India's T20 World Cup squad that was announced by the BCCI on Wednesday.
The 34-year-old Ashwin last played white-ball cricket for India in 2017 before being sidelined from one-day cricket following the Champions Trophy.
Check out photos from the first T20I between Sri Lanka and India in Colombo.
India vs Sri Lanka: Suryakumar Yadav, Bhuvneshwar Kumar help visitors grab series lead with 38-run win
Suryakumar Yadav brought up his second T20I fifty on a slow wicket while Bhuvneshwar Kumar was the pick of the bowlers with 4/22 as Sri Lanka were bowled out for 126 in response to India's total of 164/5.
Watch: Sri Lanka coach Mickey Arthur, captain Dasun Shanaka caught in heated argument after losing to India in 2nd ODI
Post the match, a video of Arthur and Shanaka arguing on the field went viral on social media. In the video, the Sri Lanka head coach appeared to be furious at his players after they lost to India on Tuesday, 20 July.
India vs Sri Lanka: 'A very good debate', Mickey Arthur brushes off claims of scolding Dasun Shanaka on camera
Sri Lanka's South African coach was seen sharing heated words with Shanaka and gesturing at the captain on the field after the game they lost by three wickets.
India vs Sri Lanka: We responded like champions, says Rahul Dravid in dressing room speech after 2nd ODI win
Chasing 276 for victory on Tuesday, India were reduced to 193 for seven in 36th over but Deepak Chahar (69) and Bhuvneshwar Kumar (19) shared an unbroken 84-run stand to take the visitors home with three wickets in hand and five balls to spare.
India vs Sri Lanka: Deepak Chahar justified Rahul Dravid's call to promote him in batting, says Bhuvneshwar Kumar
Chahar hit an unbeaten 69 and stitched an unbroken match-winning 84-run stand with Bhuvneshwar (19) for the eight-wicket to help India take an unassailable 2-0 lead in the three-ODI series.
India vs Sri Lanka: 'No better way to win match for country,' Deepak Chahar reacts to his match-winning innings
Deepak Chahar scored 69 not out from the No 8 spot to help India win a thriller in the third ODI.
India vs Sri Lanka: Deepak Chahar, Bhuvneshwar Kumar setup miraculous win as visitors clinch ODI series with game to spare
Chahar, whose highest score before this game was 12, showed remarkable resolve and composure under pressure to take his team over the line with five balls to spare. He fittingly hit the winning boundary.
India vs Sri Lanka: 'Great win by the boys', Virat Kohli, VVS Laxman and others congratulate Team India on series win
India chased down their target of 276 with five balls to spare as Chahar recorded his maiden ODI fifty. Here's how twitter reacted on India's series win
Highlights, India vs Sri Lanka, 1st ODI at Colombo, Full Cricket Score: Dhawan, Surya guide visitors to seven-wicket win
India vs Sri Lanka, First ODI at Colombo, LIVE score and updates: That's it, Dhawan collects a single and takes India to victory in the first ODI. The visitors win by seven wickets and take 1-0 lead in the three-match series. Tough day for Sri Lanka in the field as India displayed a professional show. Kuldeep, Krunal bowled well. Shaw, Kishan showing the power of youth and Dhawan leading from the front to take the side home with number of wickets and balls in hand.
The absence of Indian white ball team's "temporary" vice-captain in England was felt during the World Test Championship final and he set the record straight with regards recent talks on whether he himself doesn't want to play the traditional format.
ICC T20 World Cup 2021: Bhuvneshwar Kumar says India not focussing on 'high intensity' clash with Pakistan for now
Arch-rivals India and Pakistan were on Friday placed in the same group for the T20 World Cup as the ICC announced the pools for its flagship event, set to be played in the UAE and Oman from 17 October to 14 November.
India vs Sri Lanka: From Prithvi Shaw to Kuldeep Yadav, five Indian players to watch out for in limited-overs tour
Ahead of the limited-overs series against Sri Lanka, we take a look at some of the key Indian players to watch out for:
India vs Sri Lanka: It is the amount of bowling, says Ajit Agarkar on Bhuvneshwar Kumar’s injury issues
Ajit Agarkar talks about reasons behind Bhuvneshwar's continuous issues with injuries and why he must feature in India T20 XI if he's fit.
India vs Sri Lanka: Bhuvneshwar Kumar says youngsters will carry their IPL confidence into limited-overs tour
The senior pacer had suffered a thigh muscle injury during last year's IPL which ruled him out of the league as well as the tour of Australia.