"I thought he looked really good," Braves manager Bobby Cox said. "He threw a lot of ground balls."
Andruw Jones homered and drove in two runs for the Braves, who lost to Washington when the Nationals rallied in the ninth inning for a 6-5 victory.
"I pitched out of some early jams and for the most part felt real good," said Redman, who signed a minor league contract March 9. "I'd like to throw up zeros, but how often do I do that during the season? I have only two shutouts in my career, so you look at this as a quality start and give your team a chance to win, and that's what you strive for."
For the Nationals, Tim Redding's chances at making the starting rotation took a hit with his third shaky outing in four appearances this spring.
"Unfortunately, the first inning was obviously a very big disaster," Redding said. "You start out with a leadoff walk, steal second base, and then I threw a 1-0 changeup to Andruw Jones that I didn't get through, and he deposited it over the right-center field wall.
"I'd like to say I felt good about calming down after the first and getting two zeros after it, but throwing 67 pitches in three innings when the other day I threw 28 in the same amount isn't exactly the best thing for me right now."
Jeff Francoeur added an RBI double off Redding.
In four spring outings, Redding has allowed 11 runs in 8 2-3 innings for an 11.42 ERA.
"He didn't help himself," Nationals manager Manny Acta said. "A leadoff walk in two out of three innings and not being able to finish some guys off, but it's not over yet."
Mike Bacsik (1-1) picked up the win for the Nationals.
Nationals shortstop Cristian Guzman celebrated his 29th birthday by going 2-for-3. ... Austin Kearns continued his hot spring with two hits and an RBI. Kearns is hitting .324 this spring. ... The Nationals have won three games in a row, their best streak this spring.