We investigate decaying magnetohydrodynamic (MHD) turbulence by including the effects of expansion and collapse of the background medium. The problem has two time scales, the eddy turn-over time($t_{eddy}$) and the expansion/collapse time scale(${ au}_H$). The turbulence is expected to behave differently in two regimes of $t_{eddy}$ < ${ au}_H$ and $t_{eddy}$ > ${ au}_H$. For instance, for $t_{eddy}$ < ${ au}_H$, the turbulence would decay more or less as in a static medium. On the other hand, for $t_{eddy}$ > ${ au}_H$, the effects of expansion and collapse would be dominant. We examine the properties of turbulence in the regimes of $t_{eddy}$ < ${ au}_H$ and $t_{eddy}$ > ${ au}_H$. Based on it, we derive a scaling for the time evolution of flow velocity and magnetic field.