The One's powers can extend within and beyond that of the Matrix, granting him the abilities like Telekinesis. The One is able to use this power to control his surroundings using his mind.
A prime example of this is when Neo causes multiple Sentinels and Tow Bombs to self-destruct when approaching him. Within the Matrix, Neo also used telekinesis to draw upon a pair of sais from the Chateau walls and stop bullets. He is also able to fly at supersonic speeds and jump long distances using telekinesis, by focusing the power on himself.