The thing you need too do is make sure the text file contains nothing but the coordinates for the points, if you have attributes or a point number mixed in with the coordinates you need to delete them from the file. So your text file is something like this:
1705145.103,829479.6554,0
1708780.203,825996.5793,0
1709520.941,823934.5335,0
1710569.845,824786.8715,0
1710583.068,824685.7594,0
1709493.485,828888.0862,0
1709298.454,831331.2523,0
Now with the file open select all the points and use ctrl+C to copy the lines to the windows clipboard. Back in your drawing give the MULTIPLE command,
Command: multiple
Enter command name to repeat: point
Current point modes: PDMODE=35 PDSIZE=0.0000
Specify a point: "ctrl&v to paste the text file here".
A simple way to add points, keep in mind your point mode settings so you can see the points but this is a quick way to bring simple points into your map.