Yes, MORALITY is a Scrabble word!

Letter values in Scrabble US: M 3, O 1, R 1, A 1, L 1, I 1, T 1, Y 4.

Is it a valid word?

MORALITY is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

concern with the distinction between good and evil or right and wrong; right or good conduct
motivation based on ideas of right and wrong

Also: ethical motive.