A lateral pipe lining material is comprised of a tubular resin absorbing material impregnated with a setting resin and has a flange formed on one end thereof. A peeling tube is mounted to an outer periphery of an area around the flange. A tubular peeling end, one end of which closed off, is mounted to an outer peripheral part of the other end of the tubular resin absorbing material. The other end of the peeling tube is mounted to a pressure bag, compressed air is fed into the pressure bag in a state in which the flange of the lateral pipe lining material is attached to a peripheral edge of an opening of a lateral pipe of a main pipe, and the lateral pipe lining material is everted and inserted into the lateral pipe from the main pipe side toward ground level via air pressure. The lateral pipe lining material is then heated while being pressed against an inner peripheral surface of the lateral pipe. After the setting resin impregnated in the lateral pipe lining material has been cured, the peeling end is peeled away and removed from the main pipe-side.