Allen, who coached the All Blacks from 1966 until 1968 and was known as The Needle, had been battling ill health for some time and was in full-time care.
A fly-half, he played 21 matches for the All Blacks between 1946-49 and captained the side in all of them - but it was as a coach he made a major impression.
During his spell in charge of New Zealand, one of the team's greatest eras, all 14 Tests matches played were won.
He was knighted in 2010 and had been inducted into the New Zealand and International Rugby Halls of Fame.
A family statement read: "It is with great sadness that his family advises of the death of Sir Frederick Richard Allen, on April 28.
"Sir Fred passed away peacefully in the early hours of the morning at Maygrove Village Hospital, Orewa, where he has resided in recent months.
"His record as a player and coach of the Auckland rugby team and as a player, captain, selector and coach of the All Blacks has been well documented.
"He was forthright and inspirational and his services to Auckland Rugby and many other sporting and non-sporting organisations reflected his ever present passion and generosity of spirit.
"Earlier this week, Sir Fred had participated in the opening of a bridge at Auckland Memorial Park and at an Anzac Day service."
Allen's wife Norma died in 2009. He is survived by his daughter Marianne and granddaughters Inés and Katia."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.