Capps defeated John Hale, Matt Hagan and Robert Hight in earlier rounds, posting a string of low 4.0-second runs on a hot and humid day in the Lone Star state.
"This is one of those races that when you can win it, you feel like you really earned it," said an exhausted Capps of his third Houston win. "With the conditions that we had to drive in and tune in this weekend it feels great to get a win here."
Capps moved into the series points lead with the victory, while Beckman moved up to sixth in the standings.
In Top Fuel, Kalitta outran longtime rival Tony Schumacher in the final round to earn his 36th career victory and his first win since last August in Seattle. Kalitta, who passed "Big Daddy" Don Garlits on the all-time Top Fuel wins list with the effort, drove his Mac Tools dragster to a winning time of 3.820 at 324.98 while Schumacher's U.S. Army machine slowed near the finish line with a 4.014 at 225.60.
"I've had a couple dry spells," said Kalitta, who beat Troy Buff, Larry Dixon and top qualifier Spencer Massey in the opening rounds. "It's one of those deals where you never know when you're going to win one of these, so you have to appreciate the opportunity and appreciate these wins when you get them. It's a good feeling."
It is the first time Kalitta has defeated eight-time world champ Schumacher in a final round since Brainerd in 2003, a stretch of 10 consecutive final rounds.
"We got by him, so it wasn't until the end that we got him," Kalitta said. "Tony's a tough competitor, and here lately, we've had a tough time getting around him. Hopefully, this is a sign of things to come."
With the win Katlitta moved to fifth in the series standings and Schumacher moved into the series points lead with the runner-up finish.
The NHRA Mello Yello Drag Racing Series continues May 15-17 with the Summit Racing Equipment NHRA Southern Nationals at Atlanta Dragway, Commerce, Ga.