A vehicle-body structure of a vehicle, comprising: a vehicle-body frame member forming an opening portion for entrance at a vehicle side part; and a side door provided so as to open and/or close the opening portion, wherein the vehicle-body frame member comprises a side sill which is arranged at a lower part of the vehicle and extends in a longitudinal direction, a hinge pillar which extends upwardly from a front-side end portion of the side sill, a front pillar which extends obliquely rearwardly-and-upwardly from an upper-side end portion of the hinge pillar, and a roof side rail which continuously extends rearwardly from a rear-side end portion of the front pillar, the vehicle-body frame member further comprises a center pillar which extends in a vertical direction and interconnects a central part, in the longitudinal direction, of the side sill and a central part, in the longitudinal direction, of the roof side rail, the side door comprises a door panel portion and a reinforcement portion (71, 72, 73) provided at a peripheral part of the door panel portion such that the reinforcement portion (71, 72, 73) overlaps with the vehicle-body frame member in a vehicle side view, the peripheral part of the door panel portion comprises a lower-side overlapping portion configured to overlap with the side sill in the vehicle side view, characterized in that, the reinforcement portion (71, 72, 73) is provided at three side-portions of the peripheral part of the door panel portion which are continuous and include the lower-side overlapping portion, a side-sill reinforcement is provided inside the side sill, a hinge-pillar reinforcement is provided inside the hinge pillar, a center-pillar reinforcement is provided inside the center pillar, and a roof-side reinforcement is provided inside the roof side rail. a vehicle-body frame member forming an opening portion for entrance at a vehicle side part; and a side door provided so as to open and/or close the opening portion, wherein the vehicle-body frame member comprises a side sill which is arranged at a lower part of the vehicle and extends in a longitudinal direction, a hinge pillar which extends upwardly from a front-side end portion of the side sill, a front pillar which extends obliquely rearwardly-and-upwardly from an upper-side end portion of the hinge pillar, and a roof side rail which continuously extends rearwardly from a rear-side end portion of the front pillar, the vehicle-body frame member further comprises a center pillar which extends in a vertical direction and interconnects a central part, in the longitudinal direction, of the side sill and a central part, in the longitudinal direction, of the roof side rail, the side door comprises a door panel portion and a reinforcement portion (71, 72, 73) provided at a peripheral part of the door panel portion such that the reinforcement portion (71, 72, 73) overlaps with the vehicle-body frame member in a vehicle side view, the peripheral part of the door panel portion comprises a lower-side overlapping portion configured to overlap with the side sill in the vehicle side view, characterized in that, the reinforcement portion (71, 72, 73) is provided at three side-portions of the peripheral part of the door panel portion which are continuous and include the lower-side overlapping portion, a side-sill reinforcement is provided inside the side sill, a hinge-pillar reinforcement is provided inside the hinge pillar, a center-pillar reinforcement is provided inside the center pillar, and a roof-side reinforcement is provided inside the roof side rail.