The relationship between the anchoring energy and stability of a cholesteric liquid crystal's focal conic texture was investigated in this paper. Both the polar anchoring energy and the transmittance of the focal conic textures were measured under various conditions. The experimental results indicate that the focal conic textures with large magnitudes of polar anchoring strength tend to be more stable in a wide temperature range. This means that the polar anchoring energy plays an important role in the thermodynamic stability of the focal conic textures.