Built in 1945–46, the house is on a secluded site on a bluff overlooking the Shoshone River, with a view of Heart and Cedar Mountains on the edge of Cody.

The house was designed by Leon Goodrich, who was fired after two months because Stock didn't want to be told what to do by the architect.

Stock took over the management of the project from then on, building the rambling house in the Spanish Eclectic style.

[2] The house is laid out in an irregular H plan of about 6,700 square feet (620 m2), with a one-story facade to the front and a two-story elevation where it steps down the bluff to the rear.

[2] The Stock House is owned by the Buffalo Bill Historical Center and is used as a guest residence.