Provided are a method, system, and article of manufacture for performing backup operations for a volume group of volumes. Information on a volume group associating a plurality of volumes and backup settings is maintained. A volume group is selected to which the backup settings apply. A volume group associates hosts and volumes, indicating the hosts that are enabled to access the volumes in the volume group. Automatic backup operations for the selected volume group are invoked to generate backup information for the volume group indicating backups performed with respect to the volumes associated with the volume group, process the backup information for the volume group to determine whether to perform a backup with respect to the volume group according to the backup settings, and backup each volume in the volume group in response to determining to perform the backup operation for the volume group.