In a process for monitoring a braking system equipped with antilock system control (ABS) and electronic braking power distribution (EBV) and with two braking circuits, one for each axle, the EBV function or regulation is fundamentally not triggered before the vehicle deceleration exceeds a predetermined threshold value (GWN). Acceleration criteria, namely criteria which depend on the acceleration behaviour of the vehicle wheels, are predetermined and controlled to recognise the failure of a front axle braking circuit. Moreover, a slip range is monitored together with an acceleration range. When an acceleration criterion is "recognised", when a predetermined threshold value (GW2) used as acceleration criterion is exceeded and/or when values which lie outside the slip range (GW1) of acceleration range (GW5) are "recognised", a "suspected" failure of the front axle braking circuit is signalled and the electronic regulation of the braking power distribution (EBV) is blocked.