If you have the following fstab entry and want to mount the partition using the UUID instead of device name, you just need to add UUID= followed by you partition's UUID in your fstab and you're done.

/dev/sda4           /home           ext4    defaults        0       2

The following is an example of same entry, using UUID.

UUID=860e4946-19a2-40ee-837a-4eca537b0ec1 /home           ext4    defaults        0       2