In a filing to the US Federal Communications Commission (FFC), it laid out details about its plans for a 4,425-strong satellite network.
It is one of several companies aiming to deploy satellite-based internet services over the next few years.
SpaceX suffered a setback in September when a rocket exploded.
In a statement, the firm said: "Once fully deployed, the SpaceX system will pass over virtually all parts of the Earth's surface and therefore, in principle, have the ability to provide ubiquitous global service."