Question:
After a child born and reaches one year of age a birthday is celebrated. Is this permissible or not?
Answer:   حامدا ومصليا ومسلما

This celebrating of birthdays that has become a norm nowadays is something that needs to be avoided. It is tantamount to emulating the Non-Muslims.

(Fatawa Rahimiyyah 6/320)

والله تعالى اعلم
(Hazrat Mufti) Ahmed Khanpuri (May Allah preseve him)
The answer is correct.
(Mufti) Abbas Dawud Bismillah (May Allah preserve him)
Mahmoodul Fataawaa (4/828)