A flexible display device is provided, including: a housing, a flexible display screen, a support member and a sliding-roller. The support member is located between the flexible display screen and the sliding-roller, and is configured for driving the flexible display screen to be rolled on the sliding-roller. The sliding-roller is rotatable and is arranged in the housing. The flexible display device further includes a limiting structure provided between the support member and the housing for maintaining a gap between the flexible display screen and the housing. A display terminal is further provided.