It’s no fun losing weeks or months of your work due to a technical glitch or a corrupted storage device. Just ask anyone who has ever accidentally spilled coffee onto their laptop or downloaded the wrong type of program only to find out that it had wiped the hard disk clean on the day their proposal is due!. You should make it a habit to back up all your files, photos, important documents and work in progress in a secure and stable place that is easily accessible, self-reliant and does not mess up your files.
BOX BACKUP

This one is quite different than the others. It is not only completely automatic, but it also makes use of encryption techniques to make sure your backups are secure. It runs both server and client daemons. Connections are secure, since Box Backup authenticates clients using SSL certificates. Though it is command line based, but you can use it easily. It has configured data directories and any new data that is found after scanning is uploaded to the designated server. It has three components that you have to install: backup server daemon (bbstored), client daemon (bbackupd), and restore and query tool (bbackupquery).
REDO BACKUP AND RECOVERY

Redo Backup and Recovery is a free backup solution for disaster recovery. It saves and restores Windows and Linux machines by running from a CD-ROM or USB drive without any installation required.
SYNKRON

Synkron is a cross-platform software — it works on Windows, Mac OS X and Linux — which keeps your important files and directories updated all the time. With its easy-to-use interface and powerful features, you can easily sync and restore your data on the fly.
FWBACKUPS

This one is probably the easiest of all backup solutions for Linux. It is user friendly, and you can do scheduled and recurring backups using this utility. You can backup both remotely and locally in various formats. It is easy to install, backup, and restore- certainly recommended!
BACULA

This one is an enterprise ready solution for a Linux system. But since it is enterprise ready, it is not made for dummies. It has many features that are not present in other backup solutions, like console, director, storage, file, monitor and catalog. Granted that it’s not the easiest, but it is definitely the most powerful. If it’s power you seek, Bacula is meant for you.
MONDORESCUE

Take one disaster recovery tool and add some cool features and what do you get? Mondorescue- it can backup to almost any medium: tape, CD/DVD, and hard disk etc. Plus it supports RAID, LVM ½, XFS, JFS, and VFAT among others.
RSYNC

Judging by popularity, Rsync is the hottest tool for Linux backup. You can get incremental backups- both locally as well as remotely. It allows you to update your entire directory tree with it, while preserving the permissions, ownerships, privileges, and links. You can also use ssh, rsh, or direct sockets. Rsync is basically command line operated, but you can get front ends for it.

AMANDA

This tool allows a Linux administrator to setup a backup server to backup multiple hosts. It is flexible, reliable, and robust. It makes use of native Linux dump to help the backup process. Amanda has different applications for client and server.

ARKEIA

This one is a well-known tool in the backup market. If you have enough cash with you, and you want the best enterprise level backup system for your Linux system, you should certainly try Arkeia.Though Arkeia says that it’s meant for small and middle level businesses, I think it’s perfect for large organizations as well.