Emission spectra of the B^2^{Sigma}^+^-X^2^{Sigma}^+^ transition of ^13^C^14^N have been observed at high resolution using the Fourier transform spectrometer associated with the McMath-Pierce Solar Telescope of the National Solar Observatory. The spectra have been measured in the 21000-30000cm^-1^ region and a total of 52 vibrational bands involving vibrational levels up to {nu}=15 of the ground and excited states have been rotationally analyzed to provide a much improved set of spectroscopic constants. An experimental line list and calculated term values are provided. The results of the present analysis should prove useful in the identification of additional ^13^C^14^N lines in comets and cool stars, and will help in the determination of the ^12^C/^13^C abundance ratio.