A flat, box-shaped hydraulic block for the mechanical fastening and hydraulic interconnection of solenoid valves, pump elements, etc. of a slip-controlled vehicle brake system connects connections of installation spaces for the pump elements to connectors for a brake master cylinder and connections of receptacles for pressure build-up valves which run past one another via flat chambers on longitudinal sides of the hydraulic block and short blind bores. As a result, the receptacles of the pressure build-up valves are connected to the connectors for the brake master cylinder. The chambers damp pressure pulses of the pump elements of a piston pump.