A rubber composition, which contains a rubber mixture that can be vulcanized with a vulcanizing agent, which includes at least one rubber component, at least one filler, gel particles comprising a rubber, having a particle size between about 3.times.10.sup.-9 and about 1.times.10.sup.-6 m and a swelling index in toluene of about 1 to about 15 and whose surface has electrophilic centers, and a substance which acts as a coupling agent between the gel particles and which has the structure A--R--A, wherein A is a nucleophilic group, and R is a saturated or unsaturated hydrocarbon group. The rubber composition has improved hysteresis behavior in the vulcanized state so that when this rubber composition is used in tires, the rolling resistance is reduced and the wet slippage behavior is improved in relation to the conventional rubber compositions. A method of formulating the rubber composition as well as a composition useful for tire treads and vehicle tires containing the composition are disclosed.