We present the physical and geometrical parameters of the individual components of the close visual double-lined spectroscopic binary system Gliese 762.1, which were estimated using Al-Wardat's complex method for analyzing close visual binary systems. The estimated parameters of the individual components of the system are as follows: radius R A = 0.845 ± 0.09R ⊙ , R B = 0.795 ± 0.10R ⊙ , effective temperature T A eff = 5300 ± 50 K, T B eff = 5150 ± 50 K, surface gravity log g A = 4.52 ± 0.10, log g B = 4.54 ± 0.15 and luminosity L A = 0.51 ± 0.08L ⊙ , L B = 0.40 ± 0.07L ⊙ . New orbital elements are presented with a semi-major axis of 0.0865 ± 0.010 arcsec using the Hippracos parallax π = 58.96 ± 0.65 mas, and an accurate total mass and individual masses of the system are determined as M = 1.72 ± 0.60M ⊙ , M A = 0.89 ± 0.08M ⊙ and M B = 0.83 ± 0.07M ⊙ . Finally, the spectral types and luminosity classes of both components are assigned as K0V and K1.5V for the primary and secondary components respectively, and their positions on the H-R diagram and evolutionary tracks are given.