A razor, especially a safety razor, comprises a fluid delivery system including a pump (24) for conducting a fluid, such as a lubricant, from a reservoir (25) for application to the skin, and a control device (16) for actuating the pump (24) when the razor is brought into contact with the skin by a person holding the razor, and deactuating the pump (24) after a certain time of actuation, e.g. 0.1 to 2 seconds. The control device is arranged to ensured a delay of 1 to 10 seconds between successive actuations, and so that the pump is actuated only every second third or fourth shaving stroke.