A light source device and a display device in which wrinkle or warpage of sheet-shaped or film-shaped optical members is prevented or minimized. A light source device (2b) includes sheet-shaped or film-shaped optical members (26a, 26b, 26c) arranged to control properties of light that passes therethrough and a chassis (11b) to which the sheet-shaped or film-shaped optical members (26a, 26b, 26c) are attached, the chassis (11b) includes a plurality of fitting protrusions (hooks) (114a, 114b, 114c) that are vertically movable and are pushed upward by pushing mechanisms in a normal usage state, a plurality of fitting holes (261) each having a through hole shape are disposed adjacent to upper sides of the sheet-shaped or film-shaped optical members (26a, 26b, 26c) in the normal usage state, and the optical members (26a, 26b, 26c) are hung on the fitting protrusions (114a, 114b, 114c) of the chassis (11b) in the fitting holes (261).