A validated MATLAB code is developed to design a dry cooling unit for a 25 MW solar power plant operated with supercritical CO2 (sCO(2)) Brayton cycle. Both direct and indirect cooling systems are designed for the power plant and their performance are compared. For direct cooling system, air cooled heat exchanger unit is designed whereas for indirect cooling system, optimum size of shell and tube heat exchanger is selected addressing the retainment of shell side heat transfer correction factor within a reasonable limit. The nonlinear property variation of sCO(2) near the critical condition is reasonably well captured by the present code in both shell and tube and air cooled heat exchanger units. The comparative study of direct and indirect cooling system is performed for inlet sCO(2) temperature of 71 degrees C, operating pressure of 7.5 MPa and ambient air temperature from 15 degrees C to 40 degrees C. For the same heat rejection, indirect cooling system requires a much higher cooling tower. During high ambient temperature period, direct dry cooling system shows superior cooling performance in terms of lower sCO(2) outlet temperature compared to indirect cooling system.