You will want to perform a Spatial Join between your points and your polygons. Open the Spatial Join tool in Analysis > Overlay. Your target features are the polygon features. Your Join features are the points. In the "Field Map" display, right-click on the field you want to sum and select "Merge Rule," then select "Sum." The output of the spatial join will include the information you need in a field of the same name in each polygon's row.
... View more