Step 1: Understanding the coordinate system.
In the Cartesian coordinate system, every point is represented as an ordered pair $(x, y)$, where $x$ is the horizontal distance and $y$ is the vertical distance from the origin.
Step 2: Definition of the origin.
The origin is the point where the X-axis and Y-axis intersect. At this point, both coordinates are zero. Hence, the coordinates of the origin are $(0, 0)$.
Step 3: Conclusion.
Therefore, the coordinates of the origin are (0, 0).