Intracerebral hemorrhage refers to bleeding caused by spontaneous rupture of blood vessels. Accurate diagnosis of hemorrhage is vital in the treatment of a patient. As a new medical imaging technique, electrical impedance tomography (EIT) is able to offer images of conductivity distribution variation caused by pathological change. However, image reconstruction of EIT suffers from the problem of serious ill-posedness. Especially in the brain imaging, irregular and multi-layered head structure together with the low conductivity skull further aggravate the problem. In order to address the problem, a new image reconstruction method is proposed for imaging of hemorrhage in this work. With the solution solved by Tikhonov regularization method as the original conductivity distribution, the proposed method tends to enhance the reconstruction quality by introducing adaptive genetic algorithm. To test the performance of the proposed method, simulation work is conducted. A three-layer head model is established and an inclusion which simulates hemorrhage is placed at six different locations in the brain layer. Images reconstructed by Tikhonov method, Newton-Raphson method and traditional Genetic Algorithm method are used for comparisons. Quantitative evaluation is also performed. The anti-noise performance of the proposed method is estimated by considering noise with signal-to-noise ratio of different levels. Aside from the simulation, phantom experiments are carried out to further verify the performance of the proposed method. The results show that the proposed method performs well in the reconstruction of simulated intracerebral hemorrhage. With the proposed method, the inclusion can be more accurately reconstructed and the background is much clearer than other three traditional methods.