The teams will attempt to play a day-night doubleheader Wednesday, with the first game set to begin at 1:35 p.m. ET and the nightcap scheduled for 7:05 p.m.
On Sunday, Philadelphia's game in Boston also was postponed because of rain. That game was made up Monday, with the Red Sox beating the Phillies 8-7 in 12 innings.
It was Philadelphia's fifth consecutive loss. The team also experienced problems off the field, too.
Right-hander Brett Myers, who was arrested Friday and charged with hitting his wife on a Boston street, has asked for and been granted a leave of absence from the team. Myers is expected to rejoin the Phillies after the All-Star break, manager Charlie Manuel said.
Manuel, meanwhile, was supposed to miss Tuesday's game to serve a one-game suspension for aggressively arguing with umpire Bill Miller on June 17. He will instead serve the suspension during Wednesday's first game.
Bench coach Gary Varsho will run the club in his absence.
The Phillies were prepared to play Tuesday, but weren't arguing with the rainout.
"Anytime there's a rainout, I'm disappointed," second baseman Chase Utley said. "In terms of us giving our bodies some rest, I guess it's OK. Baseball is a long season and every day is another day. Maybe this will be a little break and maybe a little break will do us good."
The Orioles, who needed nearly six hours to get through a rain-delayed game on Saturday, had an off Monday and wanted to play Tuesday.
"I think we'd have preferred to play," manager Sam Perlozzo said. "I think neither team wanted to mess up their (starting) pitching."