New Dream Network, LLC (DreamHost's parent company) is an ICANN-accredited registrar!

Currently, you can register .com, .net, .org, or .info domain with DH!

If you want to register other domains like .co or .cn, you can register elsewhere and host them in DH by pointing DNS to:

ns1.dreamhost.com
ns2.dreamhost.com
ns3.dreamhost.com

Please refer to this article for detailed instructions.