Two point perspective is the next step after you master one point perspective. This perspective happens when you are looking at an edge of an object. When this happens, the object appears to be connected to two vanishing points on the horizon line that are wide spread. Two point perspectivce actually looks more real to life than one point because people see things from an edge (called an oblique angle) more often than head on (as in one point perspective).
The image above demonstrates how to create 2-point perspective. Below is a drawing using two point perspective.
Since there is one point perspective and two point perspective, can there be more vanishing points?