Apple Inc. plans to move its Tokyo headquarters to the Roppongi Hills complex from Shinjuku as early as April, according to two people familiar with the iPhone maker’s plan.

Apple plans to take one or two floors in the office tower at Roppongi Hills, a $2.2 billion development owned by Mori Building Co., Japan’s biggest closely held developer, according to the people, who declined to be identified because the information hasn’t been made public.