The moves are retroactive to April 20.
Blevins has a distal radius fracture of his left arm and d'Arnaud has a broken right pinky finger. Both players were injured during a 7-6 victory over the Miami Marlins on Sunday.
The team also announced that it was transferring pitcher Zack Wheeler from the 15-day disabled list to the 60-day disabled list. Wheeler had Tommy John surgery last month to repair a torn ulnar collateral ligament in his right elbow.
Blevins was acquired in a trade with the Washington Nationals late in spring training and had retired all 15 batters he had faced this season.
In the bottom of the seventh inning, d'Arnaud suffered a fractured right hand when he was hit by a pitch from Marlins reliever A.J. Ramos. The 26-year-old catcher is batting .317 on the season with two home runs and over the first 13 games of the season.
Blevins will be in a splint for six weeks, while D'arnaud will be in a splint for three weeks, according to Adam Rubin of ESPN.com. If they have recovered from their injuries, the two players will be permitted to begin baseball activity after those periods.
- Mike Fiammetta and Scooby Axson