If you're regularly using more than one computer in your research, syncing can keep your library up to date on all of them. With a Zotero account, Zotero stores a copy of your library on its server and will check it for updates whenever you open your library on a different computer. All your computers must be running the same version of Zotero.
First, set up a free Zotero.org user account. Then:
Repeat this configuration on each of your computers. Any updates you make on one of your computers will be reflected on the others.
For more details and troubleshooting, visit Zotero's Sync Support.