The Institute for Supply Management (ISM) said on Tuesday that its manufacturing PMI fell to 50.2 in October from 50.9 in September.
China's Caixin/S&P Global manufacturing PMI stood at 49.2 in October, up from 48.1 in September.
The private sector survey was in line with an official PMI released on Monday that showed China's factory activity unexpectedly fell in October.
Japan's au Jibun Bank Japan Manufacturing PMI fell to 50.7 in October from September's 50.8 final, marking the weakest growth since January last year.
India was an outlier with factory activity expanding at a stronger pace in October as demand remained solid.