  We calculate the electric dipole moment (EDM) of the nuclei $^7$Li and
$^{11}$B in the cluster model with $\alpha$ ($^4$He) and triton ($^3$H)
clusters as degrees of freedom. The $^7$Li and $^{11}$B nuclei are treated in
the two- and three-body problem, respectively, using the Gaussian expansion
method, assuming the one-meson exchange P, CP-odd nuclear forces. We find that
$^7$Li and $^{11}$B have larger sensitivity to the CP violation than the
deuteron. It is also suggested that the EDMs of $^7$Li and $^{11}$B, together
with those of $^6$Li, $^9$Be and the $1/2^+_1$ excited state of $^{13}$C, obey
an approximate counting rule accounting for the EDM of the cluster and the
$\alpha -N $ polarization. We show their sensitivity on the hadronic level CP
violation in terms of the chiral effective field theory, and discuss their role
in probing new physics beyond the standard model.
