Like JC has said, there things you will get points on your licence for which don't count as a criminal record, and things that do. So it depends what the points are for as to if they are a criminal record or not. Most application forms etc ask about a criminal record but don't include 'minor motoring offences'. Sometimes though, esp if you need a driving licence for the job they specify 'clean' driving licence, or ask about any points etc on your licence.
Also, I can't remember exactly, but isn't there a certain about of time (3 years?) that the points actually 'count' for. But they actually stay on your licence for longer (5 years?), so they are still visable, but don't actually count. If you then want them actually removing from your licence you have to pay to get a new bit without them on. Or am I making all that up?