>Is this sentence correct?
You can say Yes and No.
If, by this Japanese sentence, you mean "I WILL clean up my room right now(you are not doing it now)", it could be OK. It is like "部屋の掃除、忘れてました。すみません、今、掃除します！”
But if you mean "I am cleaning up my room now", this Japanese sentence is incorrect.
you should say "今、部屋を掃除しています”