  The psi(1P1) state can be produced at the Beijing Electron-Positron Collider
(BEPC) in the process psi'-->psi(1P1)+pi(0). We calculate the rate of this
process taking account of the S-D mixing effect in psi'. It is shown that the
rate is about a factor of 3 smaller than the simple result without considering
the S-D mixing effect. Possible detecting channels are suggested and it is
shown that psi(1P1) is able to be found with the accumulation of 30 million
events of psi' at BEPC.
