A shaving apparatus has at least one cutting unit (3) having an outer shaving surface (7) for contacting the skin, interrupted by hair entry apertures (8), an internal cutter (5) which is drivable for movement along the hair entry apertures (8) for cutting off hairs projecting through the hair entry apertures (8). A suspension member (6) via which the external cutter is suspended relative to the holder (2) is tiltable relative to the holder (2) about a tilting axis (17) located more closely to a first peripheral portion (18) of the shaving suria.ce (7) than to a second peripheral portion (19) of the shaving surface (7) opposite to said first peripheral portion (18) of said shaving surface (7).