A method includes forming a first plurality of redistribution lines, forming a first metal post over and electrically connected to the first plurality of redistribution lines, and bonding a first device die to the first plurality of redistribution lines. The first metal post and the first device die are encapsulated in a first encapsulating material. The first encapsulating material is then planarized. The method further includes forming a second metal post over and electrically connected to the first metal post, attaching a second device die to the first encapsulating material through an adhesive film, encapsulating the second metal post and the second device die in a second encapsulating material, planarizing the second encapsulating material, and forming a second plurality of redistributions over and electrically coupling to the second metal post and the second device die.