Yes, it will work. This drive comes pre-configured to work with Windows systems. The USB interface you have on this DVR is set to accept Windows formatted USB devices.
A word of caution: these particular external models have a proprietary USB cable (one end is Seagate proprietary, other is USB) and they are very sensitive to movement. This might cause the drive to eject itself if there is barely any movement. If that happens with a surveillance DVR, you may be kicking yourself later.