Gas turbine power plants are the prime mover of electrical energy in addition to steam power plants in Libya. All of them are using natural gas fuel or liquid diesel when natural gas is unabundant. The purpose of this paper is to optimize the thermodynamic performance of a simple gas turbine power plant using hydrocarbon fuels (natural gas), diesel Heavy Fuel Oil (HFO), and the alternative promising hydrogen fuel. Qualitative and quantitative approaches are adopted for optimization analysis. The objective is to assess the potential advantages associated with hydrogen as a carbon-neutral fuel instead of natural gas or diesel for gas turbine power plants producing electricity. The compression ratio within the range of (2 ≤ Pr ≤ 30) is chosen as a decision variable. The environmental conditions are chosen at restricted dead state: T₀ = 298.15K, P₀ = 101.325 kPa, and relative humidity of 60% in the summer season. Two turbine inlet temperatures are chosen for this study: TIT = 1200K and 1400K. The thermodynamics objective functions are Specific Fuel Consumption (SFC), thermal efficiency η_th, exergy efficiency ε, and electrical power We. The specific exergy destruction is taken as a measure of process satisfaction. It is found that the thermodynamic objective functions are strongly affected by the compression ratio for the turbine inlet temperatures at the same environmental conditions. Furthermore, the hydrogen fuel indicated minimum (SFC) and maximum exergy and energy efficiencies and a maximum W e at the specified mass flow rate of air and fuel. However exergy destruction has its allies a tendency to rise along the changing of compression ratio.