Calculations of the Lambda-hypernucleus production cross section in the (pi
(+), K+) reaction are presented. The nuclear reaction part is treated withi
n the distorted wave impulse approximation, and the nuclear structure part
is based on the Green function formalism. In the nuclear reaction part, the
pion and Kaon distorted wave functions and the elementary transition ampli
tudes for N(pi, K)Lambda are properly employed to construct an external fie
ld. The formalism allows us to calculate the wave function of Lambda's in n
uclei by taking care of both bound and continuum states of the Lambda. The
quasi-free peak, as well as bound state peaks, are reproduced by the calcul
ation. The Lambda knock-out and spreading modes are separated and compared
with the coincidence measurement data.