A magnetic latch for fastening a closure member to a support. The magnetic latch comprises a latch bolt assembly comprising: a first elongated housing configured to be mounted with its rear side facing either the closure member or the support; a second housing connected to and positioned underneath the first housing, the second housing being rotatable with respect to the first housing around the vertical direction between a first rotational position in which the latch bolt assembly is operable for a right-handed closure member and a second rotational position in which the latch bolt assembly is operable for a left-handed closure member; and a latch bolt mounted in the second housing. The different rotational positions of the second housing allow using a horizontally moveable latch bolt while retaining a symmetrical placement on the closure system irrespective of the handedness of the closure member.