We investigate the thermodynamic arrow of time in a time-symmetrically reco
llapsing Universe by calculating quantum mechanically the entropy productio
n of a massive scalar field. It is found that even though the Hamiltonian h
as a time-reversal symmetry with respect to the maximum expansion of the Un
iverse, the entropy production is generic and the total entropy of the scal
ar field increases monotonically. We conclude that the thermodynamic arrow
of time is a universal phenomenon even in the expanding and subsequently re
collapsing Universe due to the parametric interaction of matter field with
gravity.