Teenage outfielder Bryce Harper was awarded the National League Rookie of the Month award.
Gonzalez, 26, who was acquired for four of the Nationals best prospects, was a perfect 5-0 in his five May starts, with a 2.24 ERA in 32 innings and a league-best 45 strikeouts. Overall, Gonzalez is 7-1, with a 2.04 ERA, second-best in the major leagues, and a remarkable 11.5 strikeouts per nine innings, also second-best in baseball. He is pitching Sunday against the Braves.
The last team to have consecutive award winners was the Atlanta Braves in August and September 2010 when Tim Hudson and Derek Lowe earned the distinctions.
Harper, 19, was called up in late April to help the injured Nationals then-slumping offense. His promotion was thought to be temporary but Harper, the first overall pick of the 2010 draft has solidified his spot on the team.
In 28 games during May, Harper hit .271 (29 for 107) with 10 RBI, and led all National League rookies with 21 runs scored and four triples. He also has the second-largest number of hits among rookies (29) and is third in home runs (four).