A slam latch comprising: a mounting body; a latch bolt having a longitudinal axis and being mounted relative to the mounting body for axial movement relative to the mounting body between a locking position and an unlocking position, said latch bolt having a keeper-engaging region extending from the mounting body and terminating at a keeper-engaging end; a latch bolt positioner comprising a biasing mechanism to bias the latch bolt to the locking position; and a keeper having at least a leading wall and a trailing wall which are spaced to define an opening for receiving the keeper-engaging region, wherein the leading and trailing walls (1063, 1064) are adapted to engage the keeper-engaging region of the latch bolt when the latch bolt is in the locking position; wherein the latch bolt keeper-engaging region comprises a keeper-striking side which first strikes the keeper leading wall as the latch is closed, and said keeper-striking side comprises a taper narrowing to the keeper-engaging end; characterized in that when the latch closes: (i) the keeper trailing wall is angled so as to engage the taper; and (ii) the biasing mechanism drives the keeper-engaging region of the latch bolt into engagement with both the keeper leading wall and the keeper trailing wall; to thereby minimise or eliminate rattling of the latch; wherein a side of the latch bolt keeper-engaging region opposite from the keeper-striking side is planar, and the keeper leading wall which engages said side of the latch bolt keeper-engaging region opposite to the keeper-striking side is planar; and wherein the leading wall of the keeper has a sloped or ramped outer surface along which the latch bolt keeper-striking side slides when moving to the keeper opening, and the keeper trailing wall projects past the leading wall to prevent the latch bolt from overshooting or not engaging the opening as the latch is closed. a mounting body; a latch bolt having a longitudinal axis and being mounted relative to the mounting body for axial movement relative to the mounting body between a locking position and an unlocking position, said latch bolt having a keeper-engaging region extending from the mounting body and terminating at a keeper-engaging end; a latch bolt positioner comprising a biasing mechanism to bias the latch bolt to the locking position; and a keeper having at least a leading wall and a trailing wall which are spaced to define an opening for receiving the keeper-engaging region, wherein the leading and trailing walls (1063, 1064) are adapted to engage the keeper-engaging region of the latch bolt when the latch bolt is in the locking position; wherein the latch bolt keeper-engaging region comprises a keeper-striking side which first strikes the keeper leading wall as the latch is closed, and said keeper-striking side comprises a taper narrowing to the keeper-engaging end; characterized in that when the latch closes: (i) the keeper trailing wall is angled so as to engage the taper; and (ii) the biasing mechanism drives the keeper-engaging region of the latch bolt into engagement with both the keeper leading wall and the keeper trailing wall; (i) the keeper trailing wall is angled so as to engage the taper; and (ii) the biasing mechanism drives the keeper-engaging region of the latch bolt into engagement with both the keeper leading wall and the keeper trailing wall; to thereby minimise or eliminate rattling of the latch; wherein a side of the latch bolt keeper-engaging region opposite from the keeper-striking side is planar, and the keeper leading wall which engages said side of the latch bolt keeper-engaging region opposite to the keeper-striking side is planar; and wherein the leading wall of the keeper has a sloped or ramped outer surface along which the latch bolt keeper-striking side slides when moving to the keeper opening, and the keeper trailing wall projects past the leading wall to prevent the latch bolt from overshooting or not engaging the opening as the latch is closed.