In a nonrelativistic formalism we derive a charge-symmetry-breaking (C
SB) two-pion exchange interaction V-nn(2 pi)-V-pp(2 pi), which include
s both CSB vertex corrections and the CSB effect of propagators arisin
g from the mass differences of the intermediate baryons in different c
harge states. While the former are small, the latter gives a contribut
ion of the sign and scale comparable to the experimental difference in
the effective range parameters and the binding energy difference betw
een H-3 and He-3.