What were Neil Armstrong famous words?

Answer 1

Neil Armstrong, the first man to walk on the moon, made a brief statement before taking that first step off the ladder of the landing module onto the lunar surface. He said, "That's one small step for man, one giant leap for mankind."

Answer 2

As he stepped onto the moon for the first time he said:-

"One for step for (a) man, one giant leap for mankind"

The 'a' is in () because if you listen to the transmission he does not say the 'a', but he obviously meant to because the phrase makes little sense without it (as without the 'a' man becomes plural).

I will make a link to a recording of the transmission below - judge for yourself if you can her the 'a'.