Leech, who leaves a position as Food and Drink Federation (FDF) director general, will take up the role in early 2015, having spent nine years leading the food manufacturing industry trade body.
She is replacing out-going chief executive Liz Peace, who is retiring next week after 12 years at the property lobby group. Peace will continue to work at the BPF on a part time basis until the end of the year.
Prior to the FDF, Leech held senior positions in government including director of communications at the Cabinet Office and head of broadcasting policy at the Department for Culture, Media and Sport. She was also chief executive of the Association of Police Authorities for three years.
Leech currently serves as a trustee of the Carnegie UK Trust, is a fellow of the Royal Society of Arts and a member of the Institute of Directors.
She said she was looking forward to working with another key sector of the economy.
"As well as being a vital part of the economy in its own right, the property industry provides a platform for virtually all business activity in the UK and will have a huge role to play in meeting the aspirations of the next government to boost growth, deliver homes and unlock investment in our towns and cities," she said.