My nephew is 8 months old, he often itches his eyes badly. Is he starting to get allergic like his father who also is prone to itching eyes n allergy?

See your doctor. This problem should be brought to a pediatic ophthalmologist for treatment and evaluation.
Infant eye itching. Eye allergy is unusual in this age group. Look for external parasites, and associated skin conditions as eczema can start in infants. Have your pediatrician check this out if the condition persists after a good cleaningl.