Your face was probably too far away from him. I don't think its anything to worry about. The eye sight isn't totally developed at this stage and he can only see whats in close proximity to him. Plus he doesn't know yet that your hands aren't as interesting as your face is. Right now anything within visual range is interesting.

Maybe he's blind?. . .

Autistic children don't make very much eye contact depending on the severity, but autistic tendencies don't show up until about 18 months.
I wouldn't worry.

I agree with jessesgirl, that is one of the major signs of autism. Although it's too early for the child to be tested, look for other typical signs of autism. Hand flapping, lining up objects, insistance on routine, aversion to touch etc. The sooner the child is tested, the sooner the child will get treatment. :)

I would advise you to not worry about upsetting the mother of this 3-month old. He needs to see a doctor to make sure there is not a problem. My daughter did not make eye contact at 3 months, and when I expressed concern to my family, no one really confirmed my concern. Little did I know they were concerned but (like you) did not want to offend me or be alarmists. My precious girl does have a neurological problem-epilepsy and global developmental delay-but I did not find out until she was 6 months old. I told myself that I would never again worry about what people might think; I would always tell a mother if I thought there could be a problem. I hope this helps and I pray nothing is wrong with this child!

Your story is exactly the same as mine. Did you ever find out what (if anything) was wrong? We are anxious about talking to the baby's mother about it.

3 months is alittle early for autistic tendencies to occur or be tested..
at 3 months there looking around at different things, sometimes focused on on particular thing, sometimes my son at 5 months does not look at me, or will look only when his father calls him, or he flails his arms, they are discovering new movement new objects, new sounds, see your doctor is there is a need to be concerned with this

My son did this too.. I think it was more around 2 months though.. I looked it up online and it said that when babies are tired or bored they are less likely to pay attention to faces.. You have to catch the baby at almost the perfect time almost. My son will still ignore me if he's tired. I wouldn't worry about it unless it continues to be a problem

that is what i have noticed.
when hes bored or tired.
i keep him active alot more and he responds to everything and everyone

You should see your pediatrician and get a referral to see a pediatric ophthamologist. There is a range of possibilities that could contribute to this issue, but no amount of speculation will help you more than a professional opinion. Most importantly, trust your instincts and if the professional opinion you receive does not "feel" right, you should trust that feeling, too, and get a second opinion. If your child has an issue related to visual acuity early intervention is key in correcting or at least helping the matter.

My mother in law is a child psychologist, and believe me, there are things you can test for in regards to autism signs. I have a 3 month old who isn't making the best eye contact, but will interact if I keep my face further away. If you are concerned, a pediatrician may not notice early signs of a neurological problem. See a baby psychologist.