The effect of external electric fields has been measured in hyperfine-resolved sub-Doppler transitions in the A (2)Pi-X (2)Sigma (1,0) band of the CN radical near 10 900 cm(-1). Static electric fields less than 1 kV/cm are sufficient to mix the most closely spaced Lambda-dpublets in the A state, leading to Stark spectra with both new and shifted resonances. Simulations of the saturation-dip Stark spectral line profiles allow extraction of the A-state permanent electric dipole moment with a magnitude of 0.06 +/- 0.02 D.