The present invention relates to a single-mode single-polarization optical fiber which is capable of functioning as an in-line fiber polarizer which allows only one polarization of the fundamental mode to propagate along the fiber. In structure, the fiber comprises a central core region (10) and a cladding region (12) which is substantially in contact with the central core region. The various regions are formed such that the refractive index of an outer cladding region is greater than the refractive index of an inner cladding region but less than that of the core region. The arrangement of the present invention produces stress-birefringence between the cladding regions and the central core region sufficient to split the two orthogonal polarizations (n.sub..parallel. and n.sub..perp.) of the fundamental mode such that the desired polarization propagates freely and the undesired polarization is attenuated by tunneling through the cladding layers.