The n-pi(*) electronic transition of acetone is a convenient and important probe to study supercritical water. The solvatochromic shift of this transition in supercritical water (adopting the experimental condition of P=340.2 atm and T=673 K) has been studied theoretically using Metropolis NPT Monte Carlo (MC) simulation and quantum mechanics (QM) calculations based on INDO/CIS and TDDFT-B3LYP6-31+G(d) methods. MC simulations are used to analyze hydration shells, solute-solvent interaction, and for generating statistically relevant configurations for subsequent QM calculations of the n-pi(*) transition of acetone. The results show that the average number of hydrogen bonds between acetone and water is essentially 13 of that in normal water condition of temperature and pressure. But these hydrogen bonds have an important contribution in the solute stabilization and in the solute-solvent interaction. In addition, they respond for nearly half of the solvatochromic shift. The INDO/CIS calculations explicitly considering all valence electrons of the water molecules, using different solvation shells, up to the third shell (170 water molecules), give a solvatochromic shift of 670+/-36 cm(-1) in very good agreement with the experimentally inferred result of 500-700 cm(-1). It is found that the solvatochromic effect on n-pi(*) transition of acetone in the supercritical condition is essentially given by the first solvation shell. The time-dependent density-functional theory (TDDFT) calculations are also performed including all solvent molecules up to the third shell, now represented by point charges. This TDDFT-B3LYP6-31+G(d) also gives a good but slightly overestimated result of 825+/-65 cm(-1). For comparison the same study is also made for acetone in water at normal condition. Finally, all average results reported here are statistically converged.