Louise Henderson, a close family friend and manager to Crowe and his wife, former Miss Universe Lorraine Downes, said the family has a number of issues to confront over the next couple of weeks.
"The diagnosis is very new, the family is still in shock and obviously dealing with the understanding that life as they know it for the unforeseeable future is different."
The Crowe family has requested privacy at this time.
Martin Crowe represented his country in cricket from the early 1980s through to his retirement from first class cricket in 1996.
He also captained the New Zealand team.
Lymphomas are cancers that affect the lymphatic system and arise when developing lymphocytes (a type of white blood cell) undergo a malignant change and multiply in an uncontrolled way.
