  We report measurements of London penetration depth $\lambda(T)$ for the
noncentrosymmetric superconductor BiPd by using a tunnel diode oscillator.
Pronounced anisotropic behavior is observed in the low-temperature penetration
depth; the in-plane penetration depth $\lambda_{ac}(T)$ follows an exponential
decrease, but the interplane penetration depth $\lambda_b(T)$ shows
power-law-type behavior. The superfluid density $\rho_s(T)$, converted from the
penetration depth $\lambda(T)$, is best fitted by an anisotropic two-band BCS
model. We argue that such a complex order parameter is attributed to the
admixture of spin-singlet and spin-triplet pairing states as a result of
antisymmetric spin-orbit coupling in BiPd.
