We present the emission H α line images for 40 galaxies of the Local Volume based on the observations at the 6-meter BTA telescope. Among them there are eight satellites of the Milky Way and Andromeda (M31) as well as two companions to M51. The measured Hα fluxes of the galaxies are used to determine their integral (SFR) and specific (sSFR) star formation rates. The values of log sSFR for the observed galaxies lie in the range of (-9, -14) [yr-1]. A comparison of SFR estimates derived from the Hα flux and from the ultraviolet FUV flux yields evidence that two blue compact galaxies MRK475 and LVJ1213+2957 turn out to be at a sharp peak of their star-burst activity.