Sharma blitzed the visitors for an unbeaten 135 off 68 balls as Sunrisers piled up 2-242 in their 20 overs. Capitals were rarely in the hunt and closed on 9-195.
Head and Sharma are known as "Travishek", and are in the third season of a fearsome opening partnership, three times racking up a century in the powerplay, a feat the other nine IPL teams have managed twice between them in 19 editions.
The Australian batter and his Indian opening partner did not manage that this time, scoring a mere 67 off the first six overs, but had put on 97 in 53 balls when Head, having just launched Axar Patel for six, pulled a drag-down to wide mid-wicket.
Head made 37 off 26 balls, bringing his tally this season to 180 runs at an average 25.71. He is yet to record a half-century and his timing was again off, but with Sharma he had given Sunrisers a base to work with and they took full advantage.
Ishan Kishan made 25 off 13 balls before being being unluckily run-out backing up. Then Heinrich Klaasen smacked 37no off 13, but the show remained Sharma's. He hit ten sixes and ten fours.
Head then took a break, being subbed off for impact player Dilshan Madushanka who soon made an impact having Sri Lankan compatriot Pathum Nissanka caught for eight.
Nevertheless, Capitals closed the powerplay at 1-59, marginally behind Travishek's mark with Nitesh Rana (57 in 30) motoring. But midway through the innings they lost three wickets in five balls, including Rana, leaving them 4-107.
Eshan Malinga took two of those in two balls and ended with 4-32 as Capitals faded. Sunrisers move third, one of three teams on eight points behind Ricky Ponting's leaders Punjab Kings on 10.
