We have identified 22 galaxies with photometric redshifts z_ph = 5-7 in the northern and southern Hubble Space Telescope deep fields. An analysis of the images of these objects shows that they are asymmetric and very compact (∼1 kpc) structures with high surface brightness and absolute magnitudes of M_B ≈ -20^m. The average spectral energy distribution for these galaxies agrees with the distributions for galaxies with active star formation. The star formation rate in galaxies with z_ph = 5-7 was estimated from their luminosity at λ = 1500 Å to be ∼30 M_⊙ yr^-1. The spatial density of these objects is close to the current spatial density of bright galaxies. All the above properties of the distant galaxies considered are very similar to those of the so-called Lyman break galaxies (LBGs) with z ∼ 3-4. The similarity between the objects considered and LBGs suggests that at z ∼ 6, we observe the progenitors of present-day galaxies that form during mergers of protogalactic objects and that undergo intense starbursts.