We investigate the two-body nonleptonic weak decays of Lambda(b) baryon int
o a Lambda(c) baryon and a pseudoscalar or Vector meson in the framework of
HQET. With the additional assumption of factorization the branching ratios
and asymmetry parameters for various decay processes Lambda(b) --> Lambda(
c)(+)P(-)(V-) are obtained. Treating the s quark as heavy we have also appl
ied HQET to study the decay process Lambda(b) --> Lambda J/psi and the esti
mated branching ratio for this process is lying within the present experime
ntal limits.