An improved pipette tip support rack having a honeycomb structure. The rack includes an array of interconnected sleeves, each of the sleeves being constructed to support a pipette tip therein. The sleeves are connected by bridges which form along abutting, touching surfaces thereof, or which extend between non-touching sleeves. Openings are formed between adjacent ones of said sleeve which occupy substantially all of the space between adjacent sleeves not occupied by the bridges. Inwardly extending lips on the interior of each sleeve support the enlarged portion of the pipette tip and provide a channel through which the stem extends. Interior side walls of each sleeve provide lateral support to the pipette tips. The tray may be used in conjunction with a container to provide ventilation during autoclaving. The tray snaps into the container and rests on shoulders therein. A finger tab is provided for lifting the tray out of the container.