Jonny Bairstow struck a half century and Rashid Khan plucked 3-14 against Delhi Capitals on Tuesday to give Sunrisers Hyderabad its first victory in the Indian Premier League.
With scores level at 201, the match between Royal Challengers Bangalore and Mumbai Indians went into the super over, which Kohli's side won.
Chasing the IPL's highest target of 224 runs, three key partnerships propelled the Royals to an improbable target.
Opener Shubhman Gill's unbeaten 70-run knock along with Eoin Morgan's 42 not out guided Kolkata Knight Riders (KKR) to their first win this IPL season as they outsmarted Sunrisers Hyderabad (SRH) by seven wickets with two overs to spare on Saturday.
Delhi Capitals beat Chennai Super Kings by 44 runs to register their second consecutive win in the Indian Premier League on Friday.
Riding on a blistering century by skipper KL Rahul, Kings XI Punjab thrashed Royal Challengers Bangalore by 97 runs in an IPL encounter at the Dubai International Cricket Stadium on Thursday.
Title-holder Mumbai Indians earned an emphatic 49-run win against Kolkata Knight Riders on Wednesday to collect their first points in the Indian Premier League.
Rajasthan Royals rode explosive half centuries from Sanju Samson and captain Steven Smith's to beat Chennai Super Kings by 16 runs in a high-scoring Indian Premier League game on Tuesday.