In a braking system and a method for braking a vehicle having a hybrid drive, at least one wheel, preferably at least the wheels of one axle, is brakable by a regenerative brake and by a service brake. The braking system includes a vehicle stability control system, which ascertains state variables describing a driving dynamics of the vehicle, for which there exist threshold values and/or threshold value combinations. The vehicle stability control system is arranged such that when reaching, exceeding and/or undershooting one of the threshold values or one of the threshold value combinations a wheel-specific braking force control is effected. A predefined maximum regenerative braking force is determined on the basis of the state variables ascertained by the vehicle stability control system and the regenerative brake is controlled such that the regenerative braking force exerted on the at least one wheel does not exceed the determined predefined maximum regenerative braking force.