A computer host case structure for fastening at least one electronic device is disclosed. The computer host case includes a main body, two pivot structures, an electronic device fastening set, and two pivot axes. The pivot structure includes a notch. Two pivot axes are used for pivotally connecting to the pivot structure. The electronic device fastening set is fastened to at least one electronic device. When the electronic device fastening set rotates to a specific angle relative to the main body via the pivotal connection between the pivot axes and the pivot structures, the two pivot axes respectively enter the notches of the two pivot structures.