There are several storage services that will give you a few gigs of free cloud space for your files, such as: SugarSync (w/5GB of free space), SkyDrive (w/7GB of free space) and Dropbox (w/2GB of free space). Although if you need great deal of storage, check out MediaFire it's offering 50GB of free cloud storage (with a catch).
Make sure to read the following chart and see if you can live with the limitations of the free account. For example, some of the limitations are:
- No file syncing
- 200MB largest file size
- 1 customized folder link
- and a few more...