The opener of the four-game series was called off after rain began in the afternoon. The wet weather was expected to continue for most of the day, with temperatures in the 30s and 20 mph winds.
The game was rescheduled as part of a day-night doubleheader June 18.
Felix Doubront, who was scheduled to start for Boston on Friday, probably will start on Tuesday against the Indians in Cleveland. Manager John Farrell left the rotation for the rest of the series with the Rays intact with Jon Lester starting on Saturday followed by Clay Buchholz and Ryan Dempster.