Still's departure to take over at Blue Square Bet Premier side Luton and end a nine-year spell in charge of the Daggers was confirmed on Tuesday.
In an official statement outlining the terms of the move, Dagenham announced Burnett would be installed as interim manager until the end of the season.
It read: "For continuity, and in recognition of tremendous work he has already shown, the club have appointed assistant manager Wayne Burnett as the interim manager until the end of the season.
"Wayne has impressed the board when deputising for John in the past and has managed at local sides Fisher Athletic and Grays Athletic in the past."
Dagenham have been unchanged for the last four matches but Burnett has options available if he decides to shuffle his pack following consecutive defeats to Gillingham and AFC Wimbledon.
- Sports & Recreation
- Wayne Burnett