The invention relates to a shaving head (5) comprising at least two bladeshaped cutting members (7, 7′, 7″) each having a straight cutting edge (9, 9′, 9″) extending parallel to a longitudinal direction (Y) of the shaving head. Each cutting member is supported in a cartridge (11) of the shaving head by means of a supporting member (17) which supports the respective cutting member in a supported area (23) on the respective cutting member. Said supported area extends over a predetermined distance (D) perpendicular to the longitudinal direction. Each supporting member has a first portion (25) in contact with the supported area at a location remote from the cutting edge of the respective cutting member and a second portion (27) in contact with the supported area at a location near the cutting edge of the respective cutting member. The first portion has a basic cross-sectional area, seen perpendicularly to the longitudinal direction, and the second portion has a reduced cross-sectional area. According to the invention, the second portion (27) of the supporting member (17) of at least one of the cutting members (7, 7′, 7″) extends over at least half of said predetermined distance (D). In this manner, the free space between two adjacent cutting members is considerably increased. As a result, the rinsability of the shaving head is improved, so that the risk of shaving debris accumulation between two adjacent cutting members is reduced.