Ajay is a Sanskrit name meaning "unconquered" or "invincible", from a, not, and jaya, victory or conquest. It is one of the most familiar Indian names in the United States, partly because it is short and sounds like the English initials A.J. Ajay peaked at number 1007 in 2003, just outside the top 1000, and has eased down to number 2230 in 2025 with 63 births.