Felix Bautista (5-1) pitched scoreless ball in the ninth and 10th innings for Baltimore, which won for the 10th time in 12 games.
Yandy Diaz hit a two-run double that tied the game 3-3 for the Rays but he struck out three times.
Abbott (5-2), the first Cincinnati pitcher to work eight innings this season, retired the final 12 batters he faced.
Lorenzen's streak now stands at 23 2/3 scoreless innings dating to June 30.
Kopech, who picked up his first win in eight starts, walked four and struck out five in 5 2/3 innings.
Persons:
Colton Cowser, Tommy Gilligan, Colton Cowser's, Aaron Hicks, Rutschman, Ryan O'Hearn, Felix Bautista, Adam Frazier's, Hicks, Robert Stephenson, Luke Raley, Bautista, Randy Arozarena, Brandon Lowe, Yandy Diaz, Andrew Abbott, Abbott, Luke Maile, Will Benson, Wilmer Flores, Alex Cobb, Austin Riley, Matt Olson, Kirby Yates, Miguel Castro, Zac Gallen, Orlando Arcia, Gallen, Atlanta's Spencer Strider, George Kirby, Teoscar Hernandez, Mike Ford, Kirby, Pablo Lopez, Christian Yelich, Corbin Burnes, Yelich, Taijuan Walker, Michael Lorenzen, Nick Maton, Akil Baddoo, Zack Greinke, hasn't, Andy Ibanez, Eric Haase, Ibanez, Chris Bassitt, Vladimir Guerrero Jr, Alejandro Kirk, Bassitt, Jordan Romano, Xander Bogaerts, Blake Snell, Elvis Andrus, Michael Kopech, Omar Narvaez, Kopech, Jose Quintana
Organizations:
Baltimore Orioles, Los Angeles Dodgers, Oriole, Camden Yards, Tampa Bay Rays, Orioles, American League East, Baltimore, Rays, Reds, Giants, Cincinnati, San Francisco, Braves, Diamondbacks, Atlanta, Mariners, Seattle, Minnesota, Twins, Brewers, Phillies, Philadelphia, National League, Tigers, Royals, Kansas City, Blue Jays, Padres, Toronto, Diego, White Sox, Mets, Chicago, New York . White Sox, Thomson
Locations:
Baltimore , Maryland, USA, St . Petersburg, Fla, Tampa Bay, Cincinnati, San Francisco, Arizona, Milwaukee, Detroit, San Diego, New York