Rea, 24, the Padres 12th-round pick in the 2011 draft, moved into the lead of the Texas League earned run average race with the effort.
The 6-foot-5, 220-pound Rea also had two strikeouts Tuesday as he evened his record to 2-2 and lowered his ERA to 1.06.
Rea has allowed 44 hits and 11 walks with 55 strikeouts in 68 innings over 11 starts this season for the Missions. In three starts since missing almost a month due to back spasms, Rea has allowed no runs on seven hits and two walks with 10 strikeouts in 16 innings.