He also added that an impartial arbiter was needed to mediate between the two countries, but said that the United States lacked both the will and the vision to fulfil that role.
Answering a question of whether Israel and Syria could live side-by-side in the troubled Middle East at some point in the future, Mr Assad told the BBC: "Yes. The answer is yes."
Mr Assad also said: "It's not only the problem between the two parties. You need arbiter, you need impartial arbiter."
"This is the role of the United States, this is the supportive role of the United Nations, and this is the supportive role of the Europeans," he told the broadcaster.
But, Mr Assad added that the United States "doesn't have will to play this role, it doesn't have the vision towards a peace".
He also said that Syria was "against the occupation" of Iraq.
"The resistance is one of our concepts that we adopt, not against the British or Americans in particular, as a concept against any occupying force," he said.