EU foreign ministers meeting in Brussels also agreed to sanction nine of Assad's closest aides with travel bans and asset freezes, the BBC reports.
Targeting Assad "is the right thing to do," British Foreign Secretary William Hague was quoted as saying by news Web site EUobserver. "The repression in Syria continues and it is important to see the right of peaceful protest, the release of prisoners and taking the path of reform, not repression."
Brussels two weeks ago agreed to sanctions against 13 senior figures linked to the violence in Syria, a list that didn't include Assad. The Syrian leader had been seen as a potential reformer in the Middle East but is becoming increasingly isolated.
Human rights groups say more than 850 people have been killed and thousands arrested in the crackdown on dissidents, who have been taking the streets in several Syrian cities since March. The regime has dispatched the military to dissident hot spots, with reports that security forces shot dozens of unarmed civilians.
The Syrian government accuses armed criminals of sparking riots, saying they had killed more than 100 security personnel. In comments to the al-Watan newspaper, Assad admitted that the security services had made mistakes in handling the demonstrations because they were inexperienced.
After the United States last week imposed sanctions on the Syrian president, European leaders, including Hague and German Foreign Minister Guido Westerwelle, came forward speaking in favor of following the U.S. example.
The U.S. sanctions meant that Assad became the third leader after Libya's Moammar Gadhafi and Alexander Lukashenko of Belarus to be directly targeted by the United States.
"President Assad now has a choice," U.S. President Barack Obama said last week in a widely awaited speech on the uprisings in North Africa and the Middle East. "He can lead that transition or get out of the way. The Syrian government must stop shooting demonstrators and allow peaceful protests."
Meanwhile in Libya, another country gripped by a pro-democracy revolution, the European Union's foreign policy chief, Catherine Ashton, Sunday opened an EU mission in Benghazi, a rebel stronghold.
"Gadhafi should leave and should allow the people to have the government in the future that they wish," she said after opening the three-person mission and talks with leaders from the Transitional National Council.
Her spokesman Michael Mann told the EUobserver that the rebels asked Ashton for money. "It's important for them to pay their people, to stay solvent," Mann said.