A plugged honeycomb structure includes: a plurality of honeycomb segments, a bonding layer, and a plugging portions to plug open ends of cells of each of the honeycomb segments. The honeycomb segment is configured so that the cells having at least two kinds of different shapes are disposed in a cross section orthogonal to an extension direction of the cells, the honeycomb segment has a center region and an circumferential region located in the circumference of the center region, the center region has a cell arrangement pattern such that inflow cells surround one outflow cell, in the inflow end face of the honeycomb segment, the circumferential region has an open frontal area that is smaller than an open frontal area of the center region, the segment circumferential wall of the honeycomb segment and the bonding layer have a special thickness.