An automatically stabilizing table has an elongate support structure (14) supporting a table top (12) at an upper end and having a first pair of feet (50) at a lower end. An elongate guide formation (38) projects from a lower end of the support structure. A displaceable support member (30), having a second pair of feet (32), is engaged with the guide formation such that the displaceable support member is slidably displaceable along the guide formation and is automatically frictionally engageable with the guide formation in response to pivoting of the displaceable support member about a pivot axis which is transverse to the guide formation, to anchor the displaceable support member frictionally against sliding displacement relative to the guide formation. A pair of springs (48) is provided to urge the support member downwardly. The support member is located in channel shaped spokes (20) to inhibit swiveling thereof on the guide formation. The guide formation is preferably a pin received in a bushed guiding passage (36) in the support member.