We have investigated the specific heat of optimally-doped iron chalcogenide superconductor Fe(Te 0.57 Se 0.43 ) with a high-quality single crystal sample. The electronic specific heat C e of this sample has been successfully separated from the phonon contribution using the specific heat of a non-superconducting sample (Fe 0.90 Cu 0.10 )(Te 0.57 Se 0.43 ) as a reference. The normal state Sommerfeld coefficient n of the superconducting sample is found to be ~ 26.6 mJ/mol K 2 , indicating intermediate electronic correlation. The temperature dependence of e C in the superconducting state can be best fitted using a double-gap model with c 2 (0)/ 3.92 s B k T and c 2 (0)/ 5.84 l B k T . The large gap magnitudes derived from fitting, as well as the large specific heat jump of e c n c ( ) / ~2.11 C T T , indicate strong-coupling superconductivity.Furthermore, the magnetic field dependence of specific heat shows strong evidence for multiband superconductivity.