Method for generation of femtosecond light pulses, comprising at least two optical parametric amplification stages, wherein parametric amplification in a first OPA stage is performed by directing optically synchronized pulses of first seed radiation and first pump radiation into a first nonlinear crystal in which they overlap in time and space, satisfying conditions of non-collinear phase matching, parametric amplification in a second OPA stage is performed by directing optically synchronized pulses of second seed radiation and second pump radiation into a second nonlinear crystal in which they overlap in time and space satisfying conditions of non-collinear phase matching, outgoing pulses of signal wave radiation amplified in a final OPA stage, which is at least the second OPA stage, are compressed down to femtosecond output pulses, wherein said first and second seed radiations (9, 28) and first and second pump radiations (7, 10) are originated from a single primary laser source by splitting ultrashort radiation of said primary laser source with a power splitter into radiation of a seed arm and radiation of a pump arm, the first seed radiation for said first OPA stage is formed by stretching in time pulses of said radiation of the seed arm, while the first pump radiation for said first OPA stage is formed by amplifying and frequency doubling of said radiation of the pump arm in a second-harmonic generator, the second seed radiation for said second OPA stage is formed by compressing pulses in time of signal wave radiation amplified in said first nonlinear crystal to form femtosecond pulse radiation and further by spectral broadening of a part of said femtosecond pulse radiation in a white light generator to create spectrally broadened radiation with a bandwidth not less than 300nm and directing into the second nonlinear crystal directly or via a first pulse conditioner, wherein said primary laser source is a low-energy laser source of ultrashort radiation, characterized in that a central wavelength λ 0 of said ultrashort radiation of the primary laser source is selected to overlap a stimulated emission peak of a solid-state high-gain active medium, and its spectral width Δλ 0 corresponds to a transform-limited pulse duration from 1ps to 3ps, formation of said first seed radiation from said radiation of the seed arm additionally comprises broadening of its spectrum up to (10÷20)nm of bandwidth, a spectral bandwidth of said radiation of the pump arm, which is amplified during formation of said first pump radiation, does not exceed 1nm, the second pump radiation, in order to create pulse duration in the range of femtoseconds, is formed from amplified in said first OPA stage and compressed to femtosecond pulse radiation by separating its part by a power splitter and directing into a second-harmonic generator for frequency doubling, the frequency doubled radiation is directed into the second nonlinear crystal directly or via a second pulse conditioner, wherein ratio of durations of pump and seed pulses is in a range from 1 to 10, which is achieved by said first and/or second pulse conditioners (33, 34) comprising pulse compressors and/or pulse stretchers; signal wave pulses, amplified in the final at least in the second nonlinear crystal, are compressed in time to form output pulses with duration of 5fs to 100fs.