Solid State Telescope(SST), one of the four space plasma instruments being developed for KAISTSAT-4(K-4), is studied in this thesis, SST is designed specifically to measure the energetic electrons with energies from 25KeV to 1MeV. With three other plasma instruments, Electro-static Analyzer(ESA), Langmuir Probe(LP), and Scientific Magnetometer(SM), SST will allow in-situ detection of penetrating auroral electrons in the polar region and thus, the study of microscale physics with high time resolution data of the earth`s polar region that has not been previously achieved with other space missions. In this thesis the detailed design of SST is presented. SST consists of two telescopes, each of which is looking in the direction parallel and perpendicular to the earth`s magnetic field, respectively. The energy of the incident particles is determined from the energy transferred to surface-barrier silicon detectors(SSDs) and the coincidence/anti-coincidence logic of the two neighboring detectors. The geometrical factor of SST is 0.03(㎠ㆍsr), determined in view of the maximum electron flux in the polar region to be $5×10^6(1/㎠ㆍsrㆍ s)$ and the dead time of the circuits to be 6μs. The field of view of the telescope is 36.3°.