"A lot of hits from that 3 (and) 4 spot," Orioles manager Buck Showalter said. "I thought Chris' home run was big for us."
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Scott Feldman (3-3) pitched into the seventh inning to earn his first win in nearly a month. Davis scored three times and got hits in his final four at-bats.
After the All-Star slugger's two-out double off Jhoulys Chacin (11-7) in the third, Jones launched his 25th home run for a 3-0 lead.
"I'm real proud of both of them. They've been solid as a rock for us," Showalter said.
With the Orioles ahead 3-2 in the seventh, Davis and Jones hit consecutive singles against reliever Josh Outman and later scored on Brian Roberts' one-out single.
Davis smacked a two-run drive to right-center off Edgmer Escalona in the eighth.
"When those guys get rolling, sometimes you just hope they hit it at somebody," Rockies manager Walt Weiss said. "Most middles of the order in this league are tough to handle, and that middle of the order is about as good as anybody's. When they're swinging the bat well, it's going to be tough to get through it."
Feldman allowed two runs and five hits over 6 1/3 innings for his victory since July 22.
Swept in a three-game series at Arizona earlier in the week, the Orioles returned home from an eight-game West Coast trip. They took two of three from the Rockies in the first meeting between the teams since 2007 and finished 11-9 in interleague games this season.
"It would have been a tough start to the rest of the season if we weren't able to win the series," Showalter said. "I thought Scotty's outing was big for us."
Baltimore opens a three-game set against division rival and fellow playoff contender Tampa Bay on Monday.
"This time of year, you definitely want to win as many series as you can, especially when you're at home," Davis said. "Every game is important down the stretch."
Charlie Blackmon had an RBI double for the Rockies in the seventh and later scored on Yorvit Torrealba's groundout. Colorado arrived in Baltimore having won five of six.
Early two-out hits fueled Baltimore's offense in back-to-back games. Alexi Casilla's RBI single off Chacin in the second scored Baltimore's first run.
On Saturday, Baltimore used three two-out hits to score seven runs in the third inning of an 8-4 win.
Chacin, who entered with a 1.87 road ERA, gave up nine of Baltimore's 15 hits and three runs over 5 1/3 innings while striking out five. The right-hander took the mound despite his grandmother passing away on Saturday. He will fly to Venezuela, but intends to make his next start Friday at Miami.
"He fought his way through," Weiss said. "He was pretty emotional and pitching with a heavy heart, but he battled and he wanted to stay out there. He competed well, kept the game in check."
In four previous home starts since he was traded by the Cubs to Baltimore on July 2, Feldman went 1-3 with a 7.66 ERA. In improving to 10-9 overall, he allowed only two hits through six innings.
The Rockies chased him with two runs on three hits in the seventh, including two doubles. Otherwise, Colorado was unable to string hits together, finishing 1 for 9 with runners in scoring position.
"Yeah, pretty much what it usually comes down to when you don't score enough runs," said Todd Helton, who scored Colorado's first run after a double. "He just made some pitches when he had to."
Stinson was optioned to Triple-A Norfolk after the game. Baltimore will make a corresponding roster move before Monday's game. ... Blackmon and Troy Tulowitzki each had two of the Rockies' eight hits. ... J.J. Hardy (back spasms) was "100 percent better" than the previous day, but the Orioles rested their All-Star shortstop for the second straight game. Ryan Flaherty received the start and went 1 for 4 with a double. ... The University of Maryland football team attended the game and sat in the left-field stands. ... Colorado RHP Jeff Manship (0-2, 7.20 ERA) opens a three-game series Monday night at Philadelphia against RHP Ethan Martin (1-2, 6.28). ... Orioles RHP Chris Tillman (14-3, 3.70) opposes Tampa Bay LHP David Price (6-5, 3.28) on Monday.
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BALTIMORE, MD - AUGUST 18: Fans cover from the rain before a baseball game between the Baltimore Orioles and the...