That is a very good power supply, but technically I need your computer specifications to give you a estimation of how much watts your computer needs. That way we can save money if your computer can run on less than 500 watts.
GIGABYTE WindForce GeForce GTX 660 2GB
Cooler Master CM-690 II Lite Dominator
Intel Core I5-3570 Processor
8GB Mushkin Enhanced BlackLine Frostbyte
Corsair CP-9020047-UK Builder Series
Western Digital Caviar Green 1TB SATA
GIGABYTE GA-Z77-D3H Intel Z77
Yep, that power supply should work without any problems, if you really want to you can scoop down to a 450 watt power supply if you wish to save money. A estimation of how much watts your build uses would be around 300-350 watts. Though you should always try to get above the consumed wattage just to be on the safe side, 450 watts is enough for this build and future upgrades. I included a DVD drive in your build since it does use around 30 watts at load. No fans were included but they are pretty minimal when it comes to a power supply.