San Francisco Fed President John Williams said on Thursday that the Fed should continue to raise its interest rate further, adding the hikes should depend on the economic data.

"I still think we should be following the same strategy, however many increases or the pace of increases, which will be driven by the data," he said.

Williams pointed out that the Fed should hike its interest rate gradually.

San Francisco Fed president also said that he did not see any deterioration in the U.S. economy.