Abstract: Short two-dimensional compact chains adsorbed on the attractive surface at different temperatures were investigated by using the enumeration calculation method. First we investigate the chain size and shape of adsorbed chains, such as characteristic ratios of mean-square radii of gyration x /N and y /N, shape factor , and the orientation of chain bonds to illuminate how the size and shape of adsorbed compact chains change with increasing temperatures. There are some special behaviors for the chain size and shape at low temperature, especially for strong attraction interaction. In the meantime, adsorbed compact chains have different behaviors from general adsorbed polymer chains. Some thermodynamics properties are also discussed here. Heat capacity changes non-monotonously, first increases and then reduces. The transition temperature Tc is nearly 1.0, 1.4, 2.0 and 4.2 （in the unit of T0）for the case of e = 0, -1, -2 and –4 (in the unit of kT0), respectively. Average energy per bond increases while average Helmholtz free energy per bond decreases with increasing temperatures. From these two thermodynamics parameters we can also get another transition temperature Tc′, and it is close to 0.7, 1.1, 1.5 and 3.4 for e = 0, -1, -2, and -4, respectively. Therefore, Tc is greater than Tc′ under the same condition. These investigations may provide some insights into the thermodynamics behaviors of adsorbed protein-like chains.