The tree provided comfort to Anne Frank as she was able to see it from the house where she hid for more than two years during the Nazi occupation.
The Amsterdam authorities say the tree is deteriorating badly after it was attacked by a fungus.
The Anne Frank museum says grafts have been taken and a sapling from the original will be planted in its place.
"We are sad but we think the tests were clear and it's not safe to leave the tree," Patricia Bosboom of the Anne Frank Foundation told news agency AFP.
BBC:
