The gamma -ray strength function for gamma energies in the 1-7 MeV region h
as been measured for Dy-161,Dy-162 and Yb-171,Yb-172 using the (He-3, alpha
gamma) reaction. Various models are tested against the observed gamma -ray
strength functions. The best description is based on the Kadmenskii, Marku
shev, and Furman E1 model with constant temperature and the Lorentzian M1 m
odel. A gamma -ray bump observed at E(gamma)similar to3 MeV is interpreted
as the so-called pygmy resonance, which has also been observed previously i
n (n, gamma) experiments. The parameters for this resonance have been deter
mined and compared to the available systematics.