Some 400 people protested peacefully outside the U.S. Embassy in Bangkok, Thailand's capital. Protesters carried signs and banners saying, "We love Prophet Muhammad" and "Stop insulting our religion," and chanted, "Down with America" and "Down with Israel."
The government in Bangladesh blocked YouTube on Monday to prevent people from seeing the video. Mir Mohammaed Morshed, a spokesman for the state-run Bangladesh Telecommunications Company Ltd., said the decision will remain effective until further notice.
Google has blocked access to the video in Libya and Egypt following violence there, and in Indonesia and India because it says the video broke laws in those countries.
Associated Press writers Riaz Khan in Peshawar, Pakistan and Aijaz Hussain in Srinagar, India contributed to this report.