This paper summarizes the design results for the read-out ASIC for the space NUCLEON project of the Russian Federal Space Agency ROSCOSMOS. The ASIC with a unique high dynamic range (1-40 000 mip) at low power consumption (< 1.5 mW per channel) has been developed. It allows to record signals of relativistic particles and nuclei with charges from Z = 1 up to Z > 50, generated by silicon detectors, having capacitances up to 100 pF. The chip structure includes 32 analog channels, each consisting of a charge sensitive amplifier (CSA) with a p-MOS input transistor (W = 8 mm, L= 0.5 mu m), a shaper (peaking time of 2 us) and a T&H circuit. The ASIC showed a 120 pC dynamic range at a SNR of 2.5 for the particles with minimal ionization energy (1 mip). The chip was fabricated by the 0.35 um CMOS process via Europractice and tested both at lab conditions and in the SPS beam at CERN.