The fabrication of low‐loss (0.1 dB/cm) thin birefringent polymer films on glass substrates is reported. A birefringence of 4.7 × 10−3was measured in polystyrene. In such films, TE and TM modes can be made degenerate by controlling the film thickness. Degeneracy over distances of up to 3 cm was achieved. Such guides may simplify the construction of modulators and other devices requiring degenerate mode operation.