Brusing Under Eye Month After Laser Resurfacing Normal or Not?

  Hard to say without seeing photos.  But quite probably, this will fall in the range of normal.  Please try to give it at least another few weeks before becoming concerned.

many patients who undergo laser resurfacing of the eyelids do not bruise. IF there is a bruise it should be gone by three weeks.

Photos of the region of concern would be helpful.  In general "bruising" can occur in the periorbital region with multiple procedures.  Recovery from this bruising can vary between patients and procedures.  If your "bruising" is not improving you should discuss this with the physician who performed the procedure.

bruising can last for awhile. So a month is not too long. This is especially true in the eye area.  The eye area drains laterally and inferiorly and there are many things that can slow it down. It tends to accumulate right in the under eye area. This should get better. Sometimes the "bruising" can be iron deposits or hyperpigmentation that can take different ways to improve. 

The lower eyelids are prone to bruising because there are numerous blood vessels in that areas and the tissues ars quite loose, not providing much support to the blood vessels.

Most likely, the bruising that you have has improved a little, compared to what it was originally.

To speed up the resoluton of the bruises you may want to ask your treating Dr if he/she as an Pulsed Dye Laser. One or two treatments with the PDL would considerably speed up the recovery

Always make sure that you are being treated by  anexperienced, Board Certrified Dermatologist or Plastic Surgeon.