Lithium containing droplet and cluster targets irradiated by laser pulses were proposed as prospective source for soft x-ray lithography. Laser with repetition rate of several MHz and pulse duration of 10 ps was utilized to produce required radiation x-ray lithography when an optimum target was used. Analytical model and simulations showed that of lasers with energy of several mJ was required for the purpose. The use of laser pre-pulses to enhance laser conversion into emission at desired wavelengths was also proposed.