A tool for cleaning a corresponding part of the oral cavity of a person, in particular for cleaning teeth of a person, comprising means, or member, for engaging and cleaning the corresponding part of the oral cavity of the person, and supporting means for supporting said means, or member, for engaging and cleaning the corresponding part of the oral cavity of the person, which supporting means define, or comprise, a respective portion which defines the handle of the tool; said engaging and cleaning means extending from the supporting means and in particular, being in the form of a corresponding brush, preferably a dental brush or in the form of a pick or toothpick, or in the form of corresponding dental floss; the supporting means is in the form of a longitudinally elongate body, which extends between a first end, upper in the rest condition, and from which the engaging and cleaning means extend, and a second end (12"), lower in the rest condition; the elongate body having a large longitudinal face facing frontally, a large longitudinal face facing posteriorly and opposite longitudinal lateral edges (12a, 12b) for connecting the face facing frontally and the face facing posteriorly of the elongate body; wherein said elongated body has a curved cross section in the general shape of a 'U' providing a transversal end surface of the supporting means in the form of a flat surface in the general curved shape of a 'U' and, designed to form a corresponding lower rest for the tool that defines corresponding resting means and means for keeping the tool in an upright condition relative to a corresponding flat supporting surface; and said cross section tapers away from the second end (12"), and converges towards the first end wherein said body has a respective thickness which extends between said large longitudinal face facing frontally which is an inner recessed surface and said large longitudinal face facing posteriorly which is an outer protruding surface, such that the inner recessed surface is designed to overlap, in particular at least partly, the outer protruding surface of the supporting means of at least one similar cleaning tool, so as to form means for mutual stacking by lateral superposing with the supporting means of similar cleaning tools; and wherein free end portion of the elongated body is shaped to form gripping means for the fingers of the user to perform the cleaning of the corresponding part of the oral cavity, which gripping means are formed of a peripheral gripping surface of the large longitudinal faces facing frontally and posteriorly (12i, 12e) for at least two, and preferably for three, fingers of the user. the supporting means is in the form of a longitudinally elongate body, which extends between a first end, upper in the rest condition, and from which the engaging and cleaning means extend, and a second end (12"), lower in the rest condition; the elongate body having a large longitudinal face facing frontally, a large longitudinal face facing posteriorly and opposite longitudinal lateral edges (12a, 12b) for connecting the face facing frontally and the face facing posteriorly of the elongate body; wherein said elongated body has a curved cross section in the general shape of a 'U' providing a transversal end surface of the supporting means in the form of a flat surface in the general curved shape of a 'U' and, designed to form a corresponding lower rest for the tool that defines corresponding resting means and means for keeping the tool in an upright condition relative to a corresponding flat supporting surface; and said cross section tapers away from the second end (12"), and converges towards the first end wherein said body has a respective thickness which extends between said large longitudinal face facing frontally which is an inner recessed surface and said large longitudinal face facing posteriorly which is an outer protruding surface, such that the inner recessed surface is designed to overlap, in particular at least partly, the outer protruding surface of the supporting means of at least one similar cleaning tool, so as to form means for mutual stacking by lateral superposing with the supporting means of similar cleaning tools; and wherein free end portion of the elongated body is shaped to form gripping means for the fingers of the user to perform the cleaning of the corresponding part of the oral cavity, which gripping means are formed of a peripheral gripping surface of the large longitudinal faces facing frontally and posteriorly (12i, 12e) for at least two, and preferably for three, fingers of the user.