Device for fastening a tarpaulin on a frame or a container or, preferably, on a lorry body or the like, comprising a frame profile to be fastened to the frame and a tarpaulin profile which interacts with said frame profile and is releasably connectable thereto and has a connection for a tarpaulin holder or a piping holder , a) it being possible for the tarpaulin profile to be introduced into the frame profile by a turn-and-slide movement, b) at least a part or a region of at least one of the two profiles being elastically deformed, optionally in the contact region, c) there being, in the mounted state, a form-fitting contact in at least one non-elastically deformed region of the contact between the frame profile and the tarpaulin profile , characterised in that d) either the frame profile has a curved slot into which a curved tongue of the tarpaulin profile can be inserted in a rotating manner, in that an outer lip of the frame profile bears resiliently against the tongue , and in that the form-fitting contact is provided approximately opposite the lip in the region of an inner corner of the tarpaulin profile and an outer corner of the frame profile ; or in that the frame profile has a holding groove extending obliquely to the frame surface, preferably in a curved manner, and a guide groove extending differently obliquely, preferably in a curved manner, in that the tarpaulin profile has a holding strip and a guide strip which can be introduced into the grooves assigned to said strips under elastic deformation of the region of the tarpaulin profile between said strips by means of a turn-and-slide movement, and in that the form-fitting contact is provided on the holding groove facing the tarpaulin , on the groove wall facing the tarpaulin . a) it being possible for the tarpaulin profile to be introduced into the frame profile by a turn-and-slide movement, b) at least a part or a region of at least one of the two profiles being elastically deformed, optionally in the contact region, c) there being, in the mounted state, a form-fitting contact in at least one non-elastically deformed region of the contact between the frame profile and the tarpaulin profile , characterised in that d) either the frame profile has a curved slot into which a curved tongue of the tarpaulin profile can be inserted in a rotating manner, in that an outer lip of the frame profile bears resiliently against the tongue , and in that the form-fitting contact is provided approximately opposite the lip in the region of an inner corner of the tarpaulin profile and an outer corner of the frame profile ; or in that the frame profile has a holding groove extending obliquely to the frame surface, preferably in a curved manner, and a guide groove extending differently obliquely, preferably in a curved manner, in that the tarpaulin profile has a holding strip and a guide strip which can be introduced into the grooves assigned to said strips under elastic deformation of the region of the tarpaulin profile between said strips by means of a turn-and-slide movement, and in that the form-fitting contact is provided on the holding groove facing the tarpaulin , on the groove wall facing the tarpaulin . <EOS>