There will be HD versions of BBC News, BBC Three, BBC Four, CBeebies and CBBC.
They will be available over rooftop aerials via Freeview receivers as well as satellite and cable services.
The news coincides with regulator Ofcom's announcement that is making it possible to launch a total of ten new HD channels using airwaves freed up by the switch off of analogue TV.
The Lord Hall of Birkenhead CBE, Director-General of the BBC, commented:
BBC One HD and BBC Two HD have already proved to be highly valued by our audiences and I'm delighted that we're able to follow this with the launch of five new subscription-free BBC HD channels by early 2014. These new channels will allow us to showcase more of our programming at its very best.