"For all those who knew him and who appreciated his creative energy, his artistic rigour, his openness and his generosity, his presence will remain alive and intense," the family said in a statement from the Philharmonie de Paris, which Boulez spearheaded.
The world-renowned composer and virtuoso pianist, who died yesterday in Baden-Baden, Germany, had been considered one of the most influential voices in contemporary music since the 1950s.
A frequent guest conductor for great orchestras on both sides of the Atlantic, Boulez famously shunned the baton, always conducting with his hands.
It was his exasperation with the relative conservatism of the French musical world that prompted Boulez to make his home in Baden-Baden in the early 1960s.
Boulez's compositions were noted for their difficulty, with one of his defining works, "Le Marteau Sans Maitre" ("The Hammer Without a Master"), drawing inspiration from surrealist poetry and lacking any bass line.