Biden died Saturday at the age of 46 after a battle with brain cancer.
Beau Biden, who served as Delaware attorney general, will lie in honor at Legislative Hall Thursday afternoon.
On Friday, the Biden family will host a private viewing for Beau at St. Anthony of Padua Roman Catholic Church in Wilmington, the vice president's office said.
The Biden family said in a statement they were directing gifts and donations in Beau's honor to the Beau Biden Foundation for the Protection of Children.
Beau Biden's death marks the first time in over 50 years that a sitting U.S. president or vice president has experienced the death of a child while in office.