Both acts will perform at the Hyde Park summer bash on Friday, July 4. Morrissey is headlining the event that day.
Other acts confirmed for the Friday include Beck, The Wombats, Dirty Pretty Things, Guillemots, Lightspeed Champion and New York Dolls.
O2 Wireless takes place on July 3-6. The other three headliners are Jay-Z, Fatboy Slim and Counting Crows.
Tickets are still available for each day.