A total of 250 pairs of tickets for the event will be made available to the public via a ballot, which will be announced by Radio 2 host Chris Evans during his Breakfast Show on Tuesday.
Registration for the ballot is via bbc.co.uk/radio2 and opens at 00:01 on Tuesday 6 September and closes at 19:00 on Thursday 8 September.
It was announced in May that Sir Terry would be honoured with a special service of thanksgiving taking place at the famous church in central London on September 27, which marks the 50th anniversary of his first BBC radio broadcast.
BBC Radio 2 will broadcast live from the remembrance service between noon and 1pm.
A special edition of the Jeremy Vine Show, which will see the Christian BBC presenter reminiscing with listeners as they share their memories of Sir Terry, will air before and after the service from 11:30am to 2pm.
BBC director-general Tony Hall said: "Terry Wogan was one of the nation's most loved presenters.
"He had a unique and welcoming style combined with a mischievous sense of humour and his personality will shine through in these programmes."
Another special Radio 2 show, Thank You For Being My Friend - A Tribute to Terry Wogan, will broadcast on September 26 and 27, and will recall his career highlights, as well as original interviews with friends and colleagues.
BBC One will air a BBC Studios production with the working title of Sir Terry Wogan Remembered: Fifty Years, which will be a journey through Sir Terry's impressive 50-year career.
Sir Terry became the presenting face of the Eurovision Song Contest in the UK, having first fronted the BBC's coverage in 1971.
