A funeral will be held Saturday at the Basilica of the National Shrine of the Immaculate Conception at 11 a.m.
Vice President Joe Biden and his wife Jill will attend.
Scalia will be buried at an undisclosed location during a private ceremony.
The last justice to lie in repose at the Supreme Court was Chief Justice William Rehnquist, who died in 2005, ABC News reported.
Scalia was found dead at a Texas resort ranch Saturday, The Associated Press reported.