The accurate knowledge of complex dielectric behavior of biological tissues at microwave frequency is of great importance in the biomedical field for its diagnostic and therapeutic uses. This information is also essential for studying the mechanism underlying the absorption of electromagnetic energy and also the emission by tissues. In the present work, in vitro complex dielectric permittivity of liver and muscle were measured in the frequency range 0.6 GHz to 1.2 GHz using a network analyzer. An open ended coaxial cable method was used and the complex dielectric permittivity was measured from the actual terminal admittance of the sample. The system was calibrated with three standard samples. The measurements were conducted at room temperature. The calculated values of E' varied from 53 to 48 for liver and from 49 to 46 for muscle. The corresponding E' varied from 29 to 38 and 30 to 34 respectively. The relaxation frequency and degree of dispersion were also calculated and estimation of bound water content made in each case.