Foundation for a tower of a wind turbine with at least three columns. The foundation includes a reinforced concrete pile corresponding to each of the tower columns. According to one embodiment the pile includes a bolt cage and a main reinforcement formed by a cylindrical framework made up of horizontal rings interconnected by vertical bars. The bolt cage is arranged inside the main reinforcement radially at a distance of less than 0.1 meters. Each of the piles resides in a hole formed in the ground. Concrete is not poured into the holes until the main reinforcements and bolt cages are placed therein and aligned with one another.