The invention discloses shape memory epoxy foam, and belongs to the field of functional polymer materials. The material takes a water drop as a dispersion pore forming phase and an epoxy resin, a curing agent, a reinforced monomer and a crosslinking agent as a continuous phase, and the shape memory epoxy foam is prepared through a one-step method under the stable actions of an emulsifier and a co-emulsifier. The interpenetration polymer network type shape memory epoxy foam is prepared for the first time, the preparation method is simple, the compression performance is excellent, the shape memory characteristic is remarkable, and the shape memory epoxy foam has a broad application prospect.