Newborn Baby Care: Cross-Eyes
In general, crossing of the eyes is usually a normal occurrence in newborns. The visual system—consisting of not just the eyes but in some ways even more importantly, the areas of the brain responsible for vision and eye movements—is still undergoing significant development at this time. Occasional crossing in the first two to three months is normal and typical, as long as it happens mostly when the child is looking at Mom's or Dad's face from a very close distance or when the child is very sleepy.
I must say, however, that without seeing your child, I am only able to answer in very broad generalities. Without question, the safest approach is to see a pediatric eye doctor and share your concerns. And, of course, if the crossing seems to be getting worse or is occurring more often or to a greater extent, then a referral to a pediatric eye doctor is definitely recommended.