Their bullpen, tagged for eight runs Saturday, recovered to pitch eight and a third innings of one-run ball.
Leake was called back up on May 28 and started against the Braves, earning the win and pitching six innings of one-run ball.
He won the season opener against the St. Louis Cardinals, pitching six innings of one-run ball to earn his first career win.
Lannan finished with seven innings of one-run ball pitched, although the Nats went on to lose 3-2 in 11 innings.
One other plus: Bob Ojeda, who had lost four of five decisions this season, pitched six innings of one-run ball.
In his next start he fanned 10 Oakland batters without issuing a walk over six innings of one-run ball to win his second consecutive start.
Kamieniecki pitched eight innings of one-run ball to help terminate a three-game losing streak.
Cone pitched seven innings of six-hit, one-run ball.
They had only one runner reach base in the final two innings as the Toronto bullpen toss ed seven and two-thirds innings of one-run ball.
He pitched four innings of one-run ball and three innings of a two-hit game in his next relief outing.