Employing Solar Dynamics Observatory/Atmospheric Imaging Assembly ( AIA ) multi-wavelength images , we have presented coronal condensations caused by magnetic reconnection between a system of open and closed solar coronal loops . In this Letter , we report the quasi-periodic fast magnetoacoustic waves propagating away from the reconnection region upward across the higher-lying open loops during the reconnection process . On 2012 January 19 , reconnection between the higher-lying open loops and lower-lying closed loops took place , and two sets of newly reconnected loops formed . Thereafter , cooling and condensations of coronal plasma occurred in the magnetic dip region of higher-lying open loops . During the reconnection process , disturbances originating from the reconnection region propagate upward across the magnetic dip region of higher-lying loops with the mean speed and mean speed amplitude of 200 and 30 km s ^ { -1 } , respectively . The mean speed of the propagating disturbances decreases from \sim 230 km s ^ { -1 } to \sim 150 km s ^ { -1 } during the coronal condensation process , and then increases to \sim 220 km s ^ { -1 } . This temporal evolution of the mean speed anti-correlates with the light curves of the AIA 131 and 304 Å channels that show the cooling and condensation process of coronal plasma . Furthermore , the propagating disturbances appear quasi-periodically with a peak period of 4 minutes . Our results suggest that the disturbances represent the quasi-periodic fast propagating magnetoacoustic ( QFPM ) waves originating from the magnetic reconnection between coronal loops .