Hernandez is accused of gunning down the men after a chance encounter at a Boston nightclub. Hernandez has pleaded not guilty.
Jury selection was scheduled to begin this month in Suffolk Superior Court, but the judge agreed to delay the trial, citing a pending appeal over evidence.
A new trial date is expected to be set Tuesday during a pretrial conference.
Hernandez is already serving a life sentence after being convicted last year in the 2013 killing of a man who was dating the sister of his fiancee.