In addition to the points that are an integral part of point curve and point surface objects, you can create "freestanding" points. Such points can help you construct point curves by using the Curve Fit button. You also use dependent points to trim curves.
You create individual points as NURBS sub-objects while you are modifying NURBS. To create points individually, use the Create Points rollout or the NURBS toolbox.
Toolbox Buttons for Creating Points
These are the toolbox buttons for creating point sub-objects:
Create an independent point.
Create a dependent offset point.
Create a dependent curve point.
Create a dependent curve-curve intersection point.
Create a dependent surface point.
Create a dependent surface-curve intersection point.
This command creates an independent, freestanding point.
This command creates a dependent point that is coincident to an existing point or at a relative distance from an existing point.
This command creates a dependent point that lies on a curve or relative to it.
This command creates a dependent point that lies on a surface or relative to it. This is enabled with a NURBS object that contains a surface.
This command creates a dependent point at the intersection of two curves.
This command creates a dependent point at the intersection of a surface and a curve.
Modify panel 
(NURBS Creation Toolbox)