  We present an investigation of line-of-sight (LOS) velocity oscillations in
solar faculae and sunspots. To study the phase relations between chromosphere
and photosphere oscillations of the LOS velocity, we measured the time lag of
the chromospheric signal relative to the photospheric one for several faculae
and sunspots in a set of spectral line pairs. The measured time lags are
different for different objects. The mean measured delay between the
oscillations in the five-minute band in faculae is 50s for the SiI
10827{\AA}-HeI 10830{\AA} pair; for the pair FeI 6569{\AA}-H-alpha 6563{\AA}
the mean delay is 20s; for the pair FeI 4551{\AA}-BaII 4554{\AA} the mean delay
is 7s; for the pair SiI 8536{\AA}-CaII 8542{\AA} the mean delay is 20s. For the
oscillations in the three-minute band in sunspot umbrae the mean delay is 55s
for the SiI 10827{\AA}-HeI 10830{\AA} pair; for the Fe I 6569{\AA}-H-alpha
6563{\AA} pair it was not possible to determine the delay; for the FeI
4551{\AA}-BaII 4554{\AA} pair the mean delay is 6s; for the SiI 8536{\AA}-CaII
8542{\AA} pair the mean delay is 21s. Measured delays correspond to the wave
propagation speed which significantly exceeds the generally adopted speed of
sound in the photosphere. This raises the question of the origin of these
oscillations. The possibility that we deal with slow MHD waves is not ruled
out.
