Do Muslims celebrate birthdays?
Short answer: Islam has two annual celebrations, Eid al-Fitr and Eid al-Adha. Many scholars, including the Saudi Permanent Committee, say yearly birthday celebrations are not part of Islam.
Anas reported that the Prophet ﷺ came to Madinah where people had two days of celebration, and he said: “Allah has replaced them with two better days: Eid al-Adha and Eid al-Fitr” (Abu Dawud 1134). For this reason many scholars, including Shaykh Ibn Baz, Shaykh Ibn Uthaymeen and the Permanent Committee, held that taking birthdays as annual celebrations is not from Islam. Thanking Allah for His blessings and making dua at any time is always good. See the Eid 2027 dates.
Answered according to the Quran and authentic Sunnah as explained by the scholars of Ahl al-Sunnah wal-Jama‘ah. For your own situation, ask a trusted scholar.