If you arrive at Peetri Square [Google Maps link], head towards the Narva Castle park, located to the right of the border checkpoint (see photos 1 and 2).
When you reach the fountain in the castle park, you will see a staircase and a stone wall in front of you. There are ramps on both ends of the wall (see photo 3). From there, continue toward the bridge (see photo 4).
After crossing the bridge, you will see a staircase and a ramp on the right-hand side (see photo 5).
Continue along the path indicated in photos 6 and 7, which will lead you to the museum ticket office (see photo 8).
After exiting the ticket office, follow the tiled path (see photo 9) to the ramp (see photo 10). Upon entering, you will see a staircase and an elevator on the left-hand side (see photo 11).