We report the results of a search for the rare baryonic decay modes B0-->La
mbda<(Lambda)over bar>, B+--><(Lambda)over bar>p, B-0--><(Lambda)over bar>K
p pi(-), and B-0-->p (p) over bar (and their charge conjugate states) using
5.8X10(6) B (B) over bar pairs collected with the CLEO detector. We see no
statistically significant signals in any of these modes and set 90% confid
ence level upper limits on their branching fractions, B(B-0-->Lambda<(Lambd
a)over bar>)<3.9X10(-6), B(B+--><(Lambda)over bar>p)<2.6X10(-6), B(B-0--><(
Lambda)over bar>p pi(-))<1.3X10(-5), and B(B-0-->p (p) over bar)<7.0X10(-6)
. [S0556-2821(99)50311-1].