Husain said in a statement that her BBC career had “involved many memorable moments, going to places I would never otherwise have seen, witnessing history and being part of live, national conversation on Radio 4”.
She added: “I will always be grateful for the opportunities the BBC gave me, and wish the organisation and everyone who is part of it the very best.”
Owenna Griffiths, editor of the Today programme, described Husain as “not only a formidable journalist and first-rate presenter” but also “an extremely generous and thoughtful colleague”.
“It has been my great privilege to work alongside her and, along with the Today team, I’ll miss her enormously but wish her all the very best in her new venture,” she said.