This paper provides a review of experiments on coherent high-resolutio
n Doppler-free spectroscopy of low-pressure molecular gases. We analyz
e advantages of coherent Doppler-free spectroscopy over saturated-abso
rption spectroscopy associated with the increase in the signal-to-nois
e ratio by several orders of magnitude and the absence of power broade
ning. A method for the detection of homogeneously broadened lines with
in a Doppler contour based on the phenomenon of photon echo in standin
g waves is proposed and implemented. The developed method is employed
to resolve the fine structure of a vibrational-rotational transition i
n SF6. The possibility of applying methods of coherent spectroscopy fo
r obtaining high-contrast spectral reference lines is discussed. The r
esults of studies devoted to the selection of slow molecules with the
use of coherent transient processes are presented. The prospects for e
mploying slow molecules for the investigation of interactions between
slow molecules and for the purposes of high-resolution spectroscopy ar
e analyzed.