The victory extended Tulsa's winning streak to a season-high three games, the team's longest winning streak since the final weeks of the 2012 season.
Atlanta lost its fourth straight game, all on the road, after having won six in a row.
Johnson and Cambage scored 11 points each and combined for 13 rebounds in helping Tulsa take a 44-35 lead at halftime.
''Glory and Liz were tremendous,'' Shock coach Gary Kloppenburg said. ''Both are power players offensively and are great at getting rebounds, particularly offensive boards.''
Johnson earned her ninth double-double of the season, while Cambage had her third. Each had four offensive boards.
Angel McCoughtry had 21 points for the Dream, but was only 8 of 24 from the field, misfiring on all seven of her 3-point attempts.
''Angel tried to get to the lane to get things to happen offensively, but Tulsa collapsed on her and then she didn't get some of the calls she should have got,'' said Atlanta coach Fred Williams, who was sent to the locker room with 1:05 to play in the third quarter after receiving back-to-back technical fouls.
Tulsa was 33 of 63 (52 percent) from the field, with Cambage making 8 of 10 from the floor and Johnson 9 of 14. Candace Wiggins added 14 points.
''We are finally getting some chemistry on offense,'' Kloppenburg said.
Tulsa's 90 points were its second best offensive output of the season and followed an 86-point effort in a victory Wednesday at Seattle.
Buoyed by 61 percent shooting (11 of 18), Tulsa bolted to a 25-16 lead after one quarter.
Cambage and Candace Wiggins combined for 11 points to send the Shock in front, 13-6. A layup by Tiffany Jackson-Jones put Tulsa in front 23-13, before the Shock settled for a 25-16 advantage after one period.
McCoughtry had 11 points in the opening quarter for Atlanta, which hit 6 of 18 (33 percent) from the field.
Tulsa guard Riquna Williams opened the second period with a 3-pointer, but six unanswered points by Atlanta got the Dream within 28-22.
Atlanta closed to 33-29 on a drive by de Souza, but Tulsa finished the half on an 11-6 spurt to take a 44-35 lead at the break, getting its final seven points from the free throw line.
After her big first quarter, McCoughtry had only two points in the second period.
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- Tulsa Shock
- Liz Cambage
- Glory Johnson