The invention relates to a frame device (18) for accommodating storage cells (12) of an energy storage module (10), in particular a battery module, comprising—two plate-like closure elements (20) which form two ends (22, 24) of the frame device (18) that are opposite one another along an axis (14), —connection elements (30) which are arranged on mutually opposite sides (26, 28) of the frame device (18) and which extend from one end (22) to the other end (24) of the frame device (18) and mechanically connect the two closure elements (20) over a distance. For connection to the two closure elements (20), provision is made for each of the connection elements (30) to be provided at each of the ends thereof with a pin (42) which is oriented transversely to the axis (14) and which respectively engages in a cutout (40) in one of the closure elements (20) and is releasably fixed there by means of a respective latch-type securing element (32). The invention further relates to a corresponding energy storage module (10).