A case construction (10) for containers includes separable, identically configured, compartmentalized box units (14) having connecting elements on interfacing side walls (16, 18, 20, 22) in the form of tubular elements (42) comprising male (54) and female (56) segments in which those on one box unit telescopically cooperate with corresponding segments on an associated box unit to restrict relative movement between the box units in longitudinal and transverse direction and also serve to restrict movement of container disposed in the compartments. A latch member (64) is carried by one end wall of each box unit and is movable along tracks (72, 74) between a latching position straddling the connected box units (14) and an unlatching position permitting separation thereof. The bottom wall of the box units contain ribs forming a channel network that enables optional column-or cross-stacking of the case constructions.