England 342 (Foakes 107, Dilruwan 5-75) and 322 for 6 dec (Jennings 146*, Stokes 62) beat Sri Lanka 203 (Mathews 52, Moeen 4-66) and 250 (Mathews 53, Moeen 4-71) by 211 runs
Galle: England claimed their first away Test victory in 13 matches on Friday with a commanding 211-run win against Sri Lanka in Galle, with Moeen Ali claiming his second four-wicket haul of the game.
Last out was silver fox Rangana Herath, cricket's most successful left-arm spinner in his swansong before retirement, run out for five.
The hosts, chasing a notional 462 victory in the first match of a three-Test series, could only muster 250 on day four, with Jack Leach taking three wickets to go with Ali's four, with Adil Rashid and Ben Stokes getting one each.
England had secured a first-innings lead of 139 thanks to a century on debut by Ben Foakes -- Man of the Match -- and a formidable spin attack led by Ali and assisted ably by Leach and Rashid, restricting Sri Lanka to 203.
In England's second innings, an assured unbeaten 146 by Keaton Jennings, his first century since a ton on his 2016 debut that has silenced his critics for now at least, allowed Root to declare at 322 for six.
After resuming from their overnight score of 15/0, Sri Lanka's openers Kaushal Silva and Dimuth Karunaratne withstood the pressure from England's formidable bowling attack for the first hour of day four on Friday.
But both fell after going for attacking shots, with Kaushal leg-before trying to sweep Leach for 30 and Karunaratne caught-and-bowled by Ali for 26 as he skipped down the pitch for an attempted heave.
Dhananjaya de Silva, after a confident start, was caught at first slip by skipper Joe Root off Stokes in the last over of the morning session for 21.
One ball earlier, de Silva had been given out caught behind flashing at a Stokes delivery wide of the off stump, but he was reprieved on review.
After lunch Kusal Mendis hit Leach for four over his head but attempting a repeat the next ball skied the ball to Ali and departed for 46.
He had earlier appeared confident at the crease, employing the sweep shot especially well against all England's spinners, while secure in defence.
Chandimal, suffering from a groin injury that kept him off the pitch all of Thursday, was bowled by Leach for 11.
The final session began badly for the hosts. Niroshan Dickwella fell the first ball after tea, caught adroitly by Stokes one-handed at slip off Ali for 16.
Soon afterwards Angelo Mathews -- dropped on 18 by James Anderson -- went for 53, caught by Jos Buttler at midwicket with Ali again the wicket-taker.
He was followed into the pavilion by Akila Dananjaya for 8 before Herath -- perhaps a yard or two slower than in his pomp -- was beaten by Stokes's quick arm as the 40-year-old dived for his crease.
England's varied attack, with three quicks and three spinners, applied substantial pressure, with the slightly expensive Rashid the only minor disappointment.