Adsorption cooling systems are considered to be an important alternative to conventional heating and cooling systems, however at present it has had limited commercial applications. This is because of the low thermal heat transfer during its operations cycle from heat exchanger to adsorbent packing. The main objective of this study is the design and CFD simulation of a new compact copper wire woven fins heat exchanger and silica gel adsorbent bed used as part of an adsorption cooling system. This type of heat exchanger has a large surface area because of the wire woven fins design but can still be design as a small compact heat exchanger. It is proposed that this will help improve the coefficient of performance (COP) of the cycle and improve the heat transfer rate in the system.