At first  your baby starts out life with a 20/400 vision, being able to see only as far as about 8-12inches. Everything seems fuzzy and he is  just able to make out the face of the person holding him, his range of clarity grows steadily, month by month.

And naturally your face is the most fascinating thing to your baby at this age,so be sure to give her plenty of up-close time.

1 month

• Your baby is able to coordinate his eyes and focus on an object, e.g. a rattle being moved in front of him. At this stage he will enjoy playing eye-to-eye with you, with your eyes locked move your head from side to side! He won't be able to distinguish between colors of similar tone and will prefer black and white.

2 months

• Your baby will be able to distinguish colors. At this stage he will probably prefer brightly colored objects: Encourage this development by showing him pictures, photos, books and toys.
  

4 months

• By now your child is beginning to see objects in 3D and can appreciate shape, size and position. You can help him practice by offering him easy-to-grasp toys like rattles (otherwise he'll go for your easy-to-grasp hair, glasses, or earrings).
  

5 months

• Your baby is getting better at spotting very small items and tracking moving objects. He may even be able to recognize something after seeing only part of it. This is evidence of her budding understanding of object permanence (knowing that things exist even when she can't see them at the moment). You can help him develop this stage by playing peekaboo.
  

8 months

• Your baby's vision is about 20/20, almost adult in its clarity and depth perception at this point. Though his attention is more focused on objects that are close by, his vision is strong enough to recognize people and objects across the room.

When should you be concerned?

• Your baby doesn't track an object (your face or a rattle) with both eyes by the time he's 3 or 4 months old.
• Your baby has trouble moving either or both of his eyes in all directions.
• Your baby's eyes jiggle and cannot hold still.
• Your baby's eyes are crossed most of the time, although it is normal for the first few days of life.  
• One of your baby's pupils appears white.
• Your baby's eyes seem sensitive to light and persistently drain fluid.

Now you now why babies really enjoy playing Peek-a-boo!!