The protests in Egypt and the revolt in Tunisia are spilling over into the leadership of other countries.
After 32 years in office, Yemeni President Ali Abdullah Saleh told his parliament, Wednesday, he will not seek another term in 2013.
Saleh also promised not to appoint his son as president.
Political opponents had called for mass rallies against Saleh, Thursday.
Opposition parties are still skeptical of the president's announcement. Saleh previously backed down on a promise to not seek another term in 2006.
Yemen is the Arab world's poorest nation and has become a haven for al Qaeda terrorists.
The fall of Tunisia's longtime leader Zine el Abidine ben Ali on Jan. 14 after weeks of protests, followed by the uprising in Egypt 11 days later, have increased calls for change across the region, including in Jordan, Libya, Syria, and others.
Meanwhile, other authoritarian governments are taking steps to prevent protests from happening in their countries.
China's communist regime is heavily censoring coverage of the anti-government protests in Egypt.
Authorities blocked the search of the word "Egypt" on the Internet. Newspapers are also only allowed to print the Chinese government's official version of the story.
China's leadership blamed the mass protests in Egypt on the dangers of Western style democracy.