The quadrapole-Ioffe configuration (QUIC) trap consists of two identical quadrupole coils and one Ioffe coil, which has been applied widely to trap neutral atoms for evaporation cooling. We have designed two different structures of the QUIC trap. By the numerical calculation and experimental test, we obtained the optimized structure. In the QUIC trap, the magnetically trapped rubidium-87 atoms are cooled evaporatively to below the phase transition of Bose-Einstein condensation, at the same time, the potassium-40 atoms are cooled sympathetically to the Fermi degeneracy.