- Regular pyramid: It has a regular polygon as its base and its side faces are equal.
- Irregular pyramid: It has a base that is a convex polygon.
- Convex pyramid: Its base is a convex polygon.
- Concave pyramid: It has a base that is a concave polygon.
- Straight pyramid: all its side faces are isosceles triangles and the height falls down to the average point of the base.
- Oblique pyramid: It has one side face that is not an isosceles triangle.