Mr Lee will have talks at the Beehive today with Prime Minister John Key.
Tomorrow Mr Lee and Defence Minister Jonathan Coleman will visit the Singapore Navy frigate RSS Stalwart in Wellington which is in New Zealand for Exercise Lion Zeal.
Singapore is part of the five power defence arrangement that was established 41 years ago with Britain, Australia, and Malaysia.
New Zealand signed a Defence Cooperation Arrangement with Singapore in May 2009.
Singapore signed a strategic defence and security partnership agreement with the United States in 2005.
In June this year New Zealand signed a closer defence agreement with the United States called the Washington Declaration.
Mr Lee will travel to Australia on Tuesday where he will watch Singapore troops taking part in Exercise Wallaby at Shoalwater Bay in Queensland.