"You never beat lymphoma but I was hopeful that after the first episode I might be clear for a few years; I felt very well."
He said he now needed further treatment. "I feel much wiser and better equipped to deal with the situation than I was last time.
"I'll get stuck into the treatment again with the same resolve and positivity," he told Fairfax.
The Black Caps said their thoughts were with him, posting on Twitter:
Crowe is regarded as one of the country's greatest cricketers.
He held the record for New Zealand's highest individual test score of 299 runs for 23 years. It was finally broken by Brendan McCullum earlier this year at the Basin Reserve when he achieved 302 runs.
About Lymphoma
• Lymphomas are cancers that affect the lymphatic system.
• It occurs when developing lymphocytes, a type of white blood cell, undergo a malignant change and multiply uncontrollably.
• It can develop at any age but the majority of lymphomas occur in people over the age of 50.
• Symptoms can include recurrent fevers, excessive sweating at night, unintentional weight loss, persistent lack of energy, generalised itching.