A vertical height adjustment mechanism for a dish rack includes a slide member fixedly mounted relative to a support member, a housing secured to the dish rack, and a latch member. The housing includes a central guide channel that slidably receives the slide member. The latch member includes a support leg, an actuating arm and an intermediate portion joining the support leg and actuating arm. The sliding element includes an end portion that receives and retains the support leg of the latch when the dish rack is in the raised position.