Dozens of vessels are stuck, waiting for rescue boats to free the 400m-long (1,312ft) ship, which was knocked off course by strong winds.
Egypt has reopened the canal's older channel to divert some traffic until the grounded ship can move again.
The blockage sent oil prices climbing on international markets.
About 12% of global trade passes through the Suez Canal, which connects the Mediterranean to the Red Sea and provides the shortest sea link between Asia and Europe.
