midsole

[ mid-sohl ]
/ ˈmɪdˌsoʊl /

noun

a layer of material or cushioning between the outsole and the insole of a shoe.

Origin of midsole

British Dictionary definitions for midsole

midsole
/ (ˌmɪdˈsəʊl) /

noun

a layer between the inner and the outer sole of a shoe, contoured for absorbing shock