Yes, the Camera is entirely AC powered and needs to remain plugged in at all times.
The requirements for the Doorbell Camera are listed below:
An outdoor electrical outlet within 15 feet of desired mounting location must be present; OR a cable hole to feed the power cable from the inside of your house to the inside
Power drill for installation
Wi-Fi network that supports a bandwidth of at least 2 Mbps upload speed per camera. Test your internet speed here