There is provided a nonwoven fabric laminate having cross-directional stretch properties. The laminate is comprised of at least three layers. The outer layers are spunbond nonwoven fiber webs which are made of crimped or crimpable fibers. The inner layer is an elastomeric polymer layer which may itself be composed of one or more thinner layers. The layers are preferably produced by sequentially depositing them onto a moving forming wire and bonding them together by a method excluding hydroentanglement to form the laminate.