To align rings perfectly with each other, Sinclair International sells a neat kit that is very simple to use. There are others on the market that may work equally well.

I tried it first on a cheap gun with cheap rings and it was simple to do. I have since used it on all of my centerfire rifles. It is a very straight forward process and the kit instructions are very clear.

Since I can, I thought I would share some pictures of the process with you.
The Sinclair Scope Ring Lapping Kit
Ready for second round
Slide and Rotate against compound
Remove compound to see progress


The instructions say the bar should make about 75% contact with the bases when finished.

Evidenced here by lack of the outer finish. I quit here which is probably a little short of 75% but this was my first attempt and I did not want to over do it.

Here are some additional pictures added in 2008

Back Ring after getting started.

Back ring when finished.

Front ring after getting started.

Front ring finished.