By use of the mode‐matching technique the quantum bound states in a double‐bend quantum channel of finite length connecting to two 2D electron gas reservoirs have been investigated in detail. The conductanceGof the quantum system is calculated as a function of Fermi energy and the electron density associated with bound states. It is found that there exists one resonant peak inGcorresponding to resonant tunneling via one quasibound state below the first conductance plateau for the quantum channel with double‐bend continuity and two resonant peaks inGcorresponding to resonant tunneling via two quasibound states which are symmetric and antisymmetric superposition of two local bound states localized at two right‐angle bends below the first conductance plateau for the quantum channel with double‐bend discontinuity. At finite temperature the results are compared with experimental results and are found to explain them well. ©1995 American Institute of Physics.