The visit to a shelter for displaced people in Adra, northeast of Damascus, was Assad's first public appearance outside the capital since August.
It comes nearly four months before his seven-year term as president officially expires. Syrian officials say the presidential elections will be held on time.
Assad has suggested he would run again but hasn't confirmed whether he'll seek re-election. The poll must be held between 60 and 90 days before Assad's term ends on July 17.
Photos released by the president's office showed Assad speaking to women, several of whom were carrying children. State television quoted Assad as vowing to care for the displaced.
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Also today, the Syrian parliament met to discuss a new election law that allows candidates to run for president and allows, at least in theory, a multiparty political system in Syria. It was not immediately clear when the lawmakers would vote on the bill.
Under their rule, previous elections asked voters to cast "yes" or "no" ballots on whether they supported parliament's nomination of them as sole candidates for the presidency.
"Members of parliament will discuss every paragraph of the draft law that covers presidential, parliamentary and municipal elections," legislator Fayez Sayegh told The Associated Press by telephone.