The Free Space Optical (FSO) is a wireless optical system that has many advantages such as low installation time, low installation cost, flexible deployment, high data rate, high data security, and unlicensed spectrum usage. However, FSO links degrade with bad weather conditions including rain, fog, and snow. In this paper, Energy Efficient Adaptive Power Transmission (EEAP) system is proposed to adaptively adjust the required minimum transmission power, based on the distance between the transmitter and receiver under real weather conditions data in Gaza Strip. The required transmission power is minimum transmission power at the transmitter that guarantees a received Signal to Noise (SNR) at the receiver of predefined minimum value. If the required transmission power exceeds the transmission capability of the receiver, EEAP performs a decision making of classifying the FSO link as unviable. In case of unavailable FSO channel, other communication systems such as Radio Frequency (RF) and optical fibre is employed for transmission. In addition, the effect of weather conditions in Gaza Strip in the FSO channel is analysed in this paper. Simulation results show that compared with other fixed transmission power schemes, the proposed EEAP scheme improves the energy efficiency of the transmitter and the link availability of FSO links.