In this study, the process of ice formation and melting in LiBr aqueous solution were considered in the case that the ice was formed from the upside, side and downside of the aqueous solution by the numerical calculation using the finite differential method and the consideration for the temperature of heat transfer surface and of the aqueous solution is also performed. The temperature and the concentration distribution and the flow pattern are developed, and the discussion for the apparent latent heat of ice formation and of ice melting is also performed for various position of heat transfer surface and for the various temperature of the heat transfer surface and of the LiBr aqueous solution. As a result, in the case of the solidification process, the apparent latent heat was smaller than that measured by differential scanning calorimeter because the ice was formed in the solution with a higher concentration based upon the discharge of LiBr with a solidification. In the case of the melting process, the apparent latent heat was larger than that in the solidification process because the ice was melted in the solution with the lower concentration derived from ice melting.