An opening and closing apparatus of a luggage room for a vehicle may include a latch configured to be coupled with a luggage room door of a vehicle and provided with a locking hook, a housing configured to have a space part formed therein, a striker configured to have one portion penetrating through the housing, be provided with a locking part locked or unlocked to or from the latch, and have another portion provided with an extension extending in a left and right direction of the vehicle from a lower portion of the locking part to insert the extension into the space part of the housing, and an elastic member configured to be provided in the space part of the housing and formed to enclose an outside of the extension of the striker.