An elastic vehicle tire with a cavity (11) enclosed by a tread strip (2) supporting the tread (3) and sidewalls (4, 4.1) adjacent to this on both sides shows a foam insert (9) connected to the inside (10) of the tread strip (2). The side walls each carry a bead (5, 5.1) disposed at the free end to fit around the flange (8, 8.1) of the rim (6) of wheel (7). The foam insert (9) partly fills the cavity (11) and serves a dampening function, in particular in a frequency range below 400 Hz.