Abstract: A vicing tool for internally gripping hollow bodies, in particular, those of a tubular nature, which comprises a body (1) created in two halves (1a, 1b) having two mating faces (2a, 2b) and angularly displaceable with respect to one another about a rotational axis (X) coincident with a common edge (4) of said faces as well as means (8) for imparting to said two halves of said body said angular displacement. From at least one side of said body a nose (12) extends formed by two elongated members (12a, 12b) having substantially semicylindrical lateral surfaces, extending from said two halves of said body and connected coplanarly to said faces. The nose (12) is composed of longitudinal concentric portions (13a, 13b, 13c 13d), of increasing diameter starting from its free end, and the rotational axis (X) is parallel and eccentric with respect to the longitudinal axis of said nose.