A honeycomb structural body comprising: a pillar-shaped ceramic block and a sealing material provided on an outer peripheral portion of said ceramic block, each of them having irregularities formed on an outer peripheral face wherein: when a least square curve is determined by a least square method on the basis of points constituting the contour of a cross-section, a center-of-gravity is defined as c1, a distance between a minimum concentric circumscribed curve having c1 and the center-of-gravity c1 is defined as D1, a distance between a maximum concentric inscribed curve having c1 and the center-of-gravity c1 is defined as D2, and the following inequality is satisfied: about 0.3 mm.ltoreq.(D1-D2); same definition is applied to said ceramic block, a center-of-gravity thereof is defined as c2, a distance between a minimum concentric circumscribed curve having c2 and the center-of-gravity c2 is defined as D3, a distance between a maximum concentric inscribed curve having c2 and the center-of-gravity c2 is defined as D4, and the following inequality is satisfied: about 0.5 mm.ltoreq.(D3-D4).ltoreq.about 7.0 mm.