Injuries are taking an early-season toll on pitchers, with Daisuke Matsuzaka and Rafael Soriano the latest additions to the DL because of elbow problems.
Boston Red Sox manager Terry Francona said Tuesday that Dice-K was going on the disabled list to rest his right elbow, which Francona said is sprained.
Matsuzaka had control problems Monday night. Francona said there was no timetable on his return.
Boston also put righthander John Lackey on the DL this week.
The New York Yankees placed Soriano, who is in the first season of a three-year, $35 million contract, on the 15-day DL. The 31-year-old reliever has soreness in his right elbow.
Soriano signed with New York after leading the AL with 45 saves last season for Tampa Bay.
A rainout Tuesday night in Boston gave the Baltimore Orioles an extra 24 hours before making moves to replenish their banged-up roster.
Had the game against the Red Sox started, the Orioles would have placed first baseman Derrek Lee and infielder Cesar Izturis on the disabled list.
Lee suffered a strained left oblique Monday night, while Izturis has a nerve problem in his right elbow that led to numbness in his throwing hand.
"Izzy will go on the DL, but we've got 24 hours to think about Lee," manager Buck Showalter said.
In Detroit, the game between the Tigers and the Toronto Blue Jays was postponed because of rain. It will be made up with a night game on June 27.
Texas Rangers slugger Josh Hamilton is on schedule to play his first rehabilitation game Wednesday with double-A Frisco. He suffered a broken right arm making a headfirst slide on April 12.
Chicago put third baseman Mark Teahen on the 15-day DL with a strained right oblique (side) muscle.
This article contains information from the Associated Press.