Method for decelerating a vehicle combination with a tractor vehicle and at least one trailer vehicle with an anti-lock brake system , wherein a tractor vehicle brake system sets a brake pressure (P) at the pneumatically activated wheel brakes of the tractor vehicle in accordance with a desired deceleration (z-Soll) predefined by the driver and makes available a trailer brake pressure (P-A) for the trailer brake system of at least one trailer vehicle , wherein an electronic brake control unit of the tractor vehicle brake system - detects a current vehicle deceleration actual value (z-Ist), - compares the vehicle deceleration actual value (z-Ist) continuously with a maximum deceleration (z-Max), and in the event of the vehicle deceleration actual value (z-Ist) reaching or exceeding the maximum deceleration (z-Max) said electronic brake unit limits the brake pressure (P) at the wheel brakes of the tractor vehicle and makes available an information signal for the respective brake electronics of each trailer vehicle , which information signal represents at least one limiting status information item , and wherein the respective brake electronics of a trailer brake system - detects measurement signals of rotational speed sensors of the wheels of the trailer vehicle and sets the brake pressure (P-A) at the wheel brakes of the trailer vehicle as a function of the measurement signals by actuating pressure control valves , - receives the information signal , and when limitation of the brake pressure (P) in the tractor vehicle is detected, a dynamics variable value (v, vRA) which represents the slip is determined for each trailer axle on the basis of the measurement signals of rotational speed sensors of the wheels of the trailer vehicle , - compares slip variable values (v, vRA) of all the trailer axles with one another, and closes the inlet valves of the respective pressure control valves at least on those trailer axles with the higher slip values with respect to a control axle with the currently lowest slip. - detects a current vehicle deceleration actual value (z-Ist), - compares the vehicle deceleration actual value (z-Ist) continuously with a maximum deceleration (z-Max), and in the event of the vehicle deceleration actual value (z-Ist) reaching or exceeding the maximum deceleration (z-Max) said electronic brake unit limits the brake pressure (P) at the wheel brakes of the tractor vehicle and makes available an information signal for the respective brake electronics of each trailer vehicle , which information signal represents at least one limiting status information item , and wherein the respective brake electronics of a trailer brake system - detects measurement signals of rotational speed sensors of the wheels of the trailer vehicle and sets the brake pressure (P-A) at the wheel brakes of the trailer vehicle as a function of the measurement signals by actuating pressure control valves , - receives the information signal , and when limitation of the brake pressure (P) in the tractor vehicle is detected, a dynamics variable value (v, vRA) which represents the slip is determined for each trailer axle on the basis of the measurement signals of rotational speed sensors of the wheels of the trailer vehicle , - compares slip variable values (v, vRA) of all the trailer axles with one another, and closes the inlet valves of the respective pressure control valves at least on those trailer axles with the higher slip values with respect to a control axle with the currently lowest slip. <EOS>