In an adaptive equalizing apparatus for MIMO (Multi-Input Multi-Output) turbo reception, an interference component in a received signal is subtracted therefrom using a replica of an interference component in an interference canceling part 31.sub.n, the subtracted output is filtered by a filter 32.sub.n, to cancel the remaining interference component and to perform multi-path combining, and in a degree-of-interference-cancellation estimation part 41.sub.n the degree of interference cancellation .beta.(i) is set such that it is 0 for the iteration number i=1, 0.8+0.05 (i-1) for 5.gtoreq.i.gtoreq.2 and 1 for i.gtoreq.6, and at the beginning of each iteration filter coefficients are calculated using .beta.(i) and a channel estimation value in a filter coefficient calculating part 33.sub.n and the filter coefficient thus calculated are set in the filter 32.sub.n. An average value of soft decision symbol estimation values used in the interference canceling part may be used as .beta..