A variable compliance non-pneumatic wheel which comprises a stationary tubular body (32) attached to the vehicle chassis. A tubular member is freely rotatable relative to the stationary tubular body and has a series of peripheral mounting rods (12, 13) on sides of the wheel. A plurality of interconnected and freely rotating caterpillar-like tiles (5), which are in contact with the ground during wheel operation, are coupled to the outer periphery of the wheel. A plurality of connecting spring members, (3, 4, 6, 7, 8, 9, 10, 11), each connecting a specific mounting rod on a side of the hub (1, 2) are configured to connect the tiles (5) to the hub. The tubular member is split in two parts (1, 2) which are each free to rotate relative to one another. Each part carries approximately half number of mounting rods and connecting springs on a respective side of the wheel.