Abstract: A midsole construction includes a midsole sheet with toe and heel portions. An elastomeric resilient shock-absorbing block is embedded in the heel portion, and has a density higher than and is more rigid than the midsole sheet. The block includes an upright resilient surrounding wall, a plurality of cavities formed within the surrounding wall, and a plurality of upright resilient interior walls which are connected to the surrounding wall to confine the cavities. Preferably, the surrounding wall is substantially cylindrical. The interior walls include interior circular walls formed within the surrounding wall, and radial walls extending between the interior circular walls and the surrounding wall for enhanced provide great resilient and shock-absorbing effects.