Allen is facing two counts of murder in the deaths of 13-year-old Abby Williams and 14-year-old Libby German.
RELATED: Delphi murders suspect Richard Allen's attorneys say he 'has nothing to hide'
This week marks six years since the murder case that shocked the quiet Indiana community and the country.
Court officials said the hearing was postponed at the request of the defense. Allen's attorneys said they need more time to review the large amount of evidence turned over by the state.
ALSO SEE: Bullet found near girls' bodies tied back to Richard Allen, court documents show