A colorless tunable dispersion compensator for compensating for chromatic dispersion in a multi-channel light signal is provided. The compensator includes a multi-channel Bragg grating extending along a waveguide. Dispersion tuning means, such as a temperature gradient inducing device, are provided for tuning the dispersion characteristics of the wavelength channels. Wavelength shifting means are also provided for uniformly shifting the central wavelengths of all channels independently of their dispersion characteristics. A uniform temperature inducing or strain applying assembly can be used for this purpose.