Merging Attributes of points into polygon using ArcMap?

Question

I am using ArcMap 10.

I have points layer which the attribute looks like this:

FID Shape ID Lat Long
0 Point 2065 -5.51666 106.48333
1 Point 2319 21.93333 120.73366

I also have polygons layer :

FID Shape ID 
0 Polygon 0 
1 Polygon 0

How could I join both attribute file so that it become

FID Shape ID Lat Long FID2 Shape
0 Point 2065 -5.51666 106.48333 1 Polygon
1 Point 2319 21.93333 120.73366 1 Polygon
2 Point 2304 22.93333 129.73366 3 Polygon

The actual case is, there are points that fall within one polygon.

Answer 1

I think this classic point-in-polygon overlay operation is best handled using the Intersect_analysis tool wich:

Computes a geometric intersection of the input features.

If you input a feature class or shapefile of points, and another with polygons, then the output is any points falling within a polygon have the ID (and optionally attributes) of that polygon added to then end of its attribute table.