A battery module, a flexible display apparatus, and a mobile terminal are described. A battery module includes energy storage cells disposed along a first direction, a flexible connecting portion connected between adjacent energy storage cells for transmitting electric energy, and support housings corresponding to the energy storage cells in a one-to-one correspondence, a support housing being provided with an accommodation cavity that fits an energy storage cell. The first side of the support housing is provided with an opening, a width of the support housing in the first direction is gradually decreased from the second side to the first side, the second side is opposite to the first side. The battery module further includes a support spacer with preset flexibility, where the support housings are disposed on one side of the support spacer along the first direction, and connecting members with preset flexibility connected between adjacent supporting housings.