A gripping device for gripping drilling tools, wherein the gripping device comprises: a frame; and gripping means mounted to the frame and being movable relative to the frame; wherein the gripping means comprise at least one fluid-tight gripping element made of elastic material; the frame comprises at least one fluid channel (20, 22a, 22b) for feeding pressurized fluid to the gripping element for expanding the elastic gripping element relative to the frame; the frame of the gripping device comprises an elongated shaft; the gripping element is a tubular piece arranged on an outer surface of the frame; ends of the gripping element are fastened to the frame fluid-tightly and a central portion between the ends is free of fastening; and the mentioned at least one fluid channel (20, 22a, 22b) is in fluid connection to an inner surface of the central portion of the gripping element, whereby pressurized fluid fed through the fluid channel is configured to expand the elastic gripping element at a portion between the ends; characterized in that the frame comprises at least two elongated frame components (15a, 15b) connected successively in longitudinal direction of the frame components; a first frame component comprises connecting surfaces for connecting the gripping device to an external device; a second frame component is provided with the elastic gripping element; and between the first and second frame components (15a, 15b) are coupling members for mounting and dismounting the second frame component to the first frame component, whereby the second component is a replaceable component provided with the expandable gripping element. a frame; and gripping means mounted to the frame and being movable relative to the frame; wherein the gripping means comprise at least one fluid-tight gripping element made of elastic material; the frame comprises at least one fluid channel (20, 22a, 22b) for feeding pressurized fluid to the gripping element for expanding the elastic gripping element relative to the frame; the frame of the gripping device comprises an elongated shaft; the gripping element is a tubular piece arranged on an outer surface of the frame; ends of the gripping element are fastened to the frame fluid-tightly and a central portion between the ends is free of fastening; and the mentioned at least one fluid channel (20, 22a, 22b) is in fluid connection to an inner surface of the central portion of the gripping element, whereby pressurized fluid fed through the fluid channel is configured to expand the elastic gripping element at a portion between the ends; characterized in that the frame comprises at least two elongated frame components (15a, 15b) connected successively in longitudinal direction of the frame components; a first frame component comprises connecting surfaces for connecting the gripping device to an external device; a second frame component is provided with the elastic gripping element; and between the first and second frame components (15a, 15b) are coupling members for mounting and dismounting the second frame component to the first frame component, whereby the second component is a replaceable component provided with the expandable gripping element.