A baseball simulation game includes a standard or universal base unit or structure (20) on which is placed a removable playing field surface (22), as well as a removable outfield fence configuration (24). The playing surface (22) and fence configuration (24) can be changed so that the game unit (20) models or resembles different baseball parks or stadiums that currently exist, that previously existed, or that are fictitious. A pitching pipe (26) is positioned in center field, in alignment with second base (27B), pitching mound (27A), and home plate (27). The ball is pitched by being propelled down the pipe (26) toward home plate (27). The batter operates a bat (80) by pushing or pulling on batting rod (50), having a knob or handle (81) positioned adjacent home plate (27) and a second knob adjacent the entrance end of the pitching pipe (26). Openings are placed in the lower portion of the outfield fence (24) through which the ball is batted, thereby to achieve hits and score runs.