Suitcase with variable volume, comprising several rigid and/or soft parts suited to be directly joined to one another and connected by flexible and resistant membranes or elements. Each hard and/or soft part of the new suitcase with variable volume is made of a hard and/or soft and/or flexible material, for example a plastic material, and comprises at least one subpart of one of the faces of the parallelepiped making up the suitcase. The flexible membranes or elements connect the edge of each hard and/or soft part with the corresponding edge of the adjacent rigid part.