A floorboard system with floorboards of dimensionally stable material, which have an upper side, an underside, as well as faces that encompass this upper side and underside, namely longitudinal faces and end faces (14, 15, 16), with a connecting system comprising interengaging projections and recesses for connecting floorboards bordering on one another, wherein the connecting system comprises a connector of a flexible material, which has a supporting surface that in the installed state of the floorboard system protrudes over the underside of the floorboards and serves for flexibly supporting the floorboard system on a substructure, wherein recesses are provided at least in the longitudinal faces (14, 15) of the floorboards and the projections (22, 25) of an adjacent floorboard engage into said recesses in order to positively secure the vertical position of the floorboards bordering on one another, wherein the flexible connector comprises at least one gripping element for securing the horizontal position in the transverse direction of the floorboards bordering on one another, with said gripping element engaging on at least one of the floorboards when a floorboard is attached to another floorboard at an insertion angle (α) and pivoted into an aligned position of the floorboard, and wherein the projections (22, 25), which are provided on the floorboards so as to protrude in the region of the longitudinal faces (14, 15), have the following characteristics: receptacle projections designed for receiving the connector are arranged on one of the longitudinal faces of the floorboard and engagement projections for engaging into the recesses of an adjacent floorboard are arranged on the opposite longitudinal face, characterized in that the engagement projections are arranged adjacent to one another in pairs and leave space for a respective receptacle projection of one of the adjacent floorboards between one another, and in that the flexible connector comprises a receptacle for one of the receptacle projections and for the attachment thereon has at least one of the following characteristics: 1.1 a projection for engaging into a recess of the receptacle projection, 1.2 an undercut profiling for sliding the connector on the receptacle recess like a dovetail, 1.3 a cavity, into which the receptacle projection engages and in which it is secured against removal with a securing element in each of alternatives 1.1, 1.2 or 1.3. receptacle projections designed for receiving the connector are arranged on one of the longitudinal faces of the floorboard and engagement projections for engaging into the recesses of an adjacent floorboard are arranged on the opposite longitudinal face, characterized in that the engagement projections are arranged adjacent to one another in pairs and leave space for a respective receptacle projection of one of the adjacent floorboards between one another, and in that the flexible connector comprises a receptacle for one of the receptacle projections and for the attachment thereon has at least one of the following characteristics: 1.1 a projection for engaging into a recess of the receptacle projection, 1.2 an undercut profiling for sliding the connector on the receptacle recess like a dovetail, 1.3 a cavity, into which the receptacle projection engages and in which it is secured against removal with a securing element in each of alternatives 1.1, 1.2 or 1.3. 1.1 a projection for engaging into a recess of the receptacle projection, 1.2 an undercut profiling for sliding the connector on the receptacle recess like a dovetail, 1.3 a cavity, into which the receptacle projection engages and in which it is secured against removal with a securing element in each of alternatives 1.1, 1.2 or 1.3.