The transport system comprises at least one road surface (2) and at least one vehicle (4) on wheels (6). The road surface (2) has a substantially bowl-shaped cross section and the vehicle (4) is designed so that the wheels (6) run directly on the road surface (2) while the road surface (2) acts as a guide for the direction of movement of the vehicle (4) comprises at least one wheel set (14), wherein for each wheel (6) of the wheel set (14), the normal (16) of the contact face between the wheel (6) and the road surface (2) is directed perpendicularly to the rotation axis (20) of the wheel (6).