The events will be at Exeter cathedral and at the Institute of Education.
Professor Wragg suffered a heart attack on an early-morning run and died on November 10, aged 67.
The Exeter service, to be held on February 4, has been organised by his family, and will be open to all. Speakers will include Baroness Morris, the former education secretary, and Steve Smith, vice-chancellor of Exeter university where Ted Wragg was professor of education between 1978 and 2003.
Josie Wragg, Professor Wragg's daughter, said: "We were a very close family, but dad had a much larger family in the educational world, as well.
"We've had hundreds and hundreds of cards and letters. It's been completely overwhelming and very comforting. It makes me massively proud."
A university spokesman said: "Ted was the life and soul of the university.
He left a massive hole. The number of people who've praised Ted and taken the trouble to send their sympathy to his family is amazing. I've never seen anything quite like it."
The second event will be held on February 15 at the Institute of Education in London. It has been sponsored by The TES and The Guardian, the Institute of Education, the Teaching Awards Trust, Teachers' TV, the British Educational Research Association and the New Vision Group.
Geoff Whitty, director of the Institute, said: "Ted Wragg was a great supporter of teachers and believed in defending and extending teachers'
professionalism. The Institute of Education shares many of his values, so it is particularly fitting that we should host a celebration of his life."
Tickets for the service are free, but the hall can only accommodate 930 people. Among those in attendance will be Tim Brighouse, chief adviser to London schools, and David Puttnam, chair of the teaching awards trust. Rory Bremner, the comedian, and Neil Kinnock, former Labour party leader, will send video-recorded messages. The TES will publish an accompanying memorial booklet in its February 3 edition.
Judith Judd, TES editor, said: "Ted Wragg's brilliant columns cheered up teachers every time they arrived in the staffroom. We look forward to celebrating his contribution to education and to The TES.
For tickets to the February 15 memorial, email: firstname.lastname@example.org