  We discuss on the early stage of galaxy formation based on recent deep
surveys for very high-redshift galaxies, mostly beyond redshift of 6. These
galaxies are observed to be strong Lyman$\alpha$ emitters, indicating bursts of
massive star formation in them. The fraction of such star-forming system
appears to increase with increasing redshift. On the other hand, the star
formation rate density derived from Lyman$\alpha$ emitters tends to decrease
with increasing redshift. It is thus suggested that the major epoch of initial
starbursts may occur around $z \sim$ 6 -- 7. In order to understand the early
stage of galaxy formation, new surveys for galaxies beyond redshift of 7 will
be important in near future.
