"We have as solid a relationship, as clear an alliance and as strong a friendship with the kingdom of Saudi Arabia as we have ever had," he said.
Kerry delivered the remarks to US Embassy employees a day after meeting with Saudi and other Perisian Gulf officials.
He said he had discussed "new ideas" to bring peace to Yemen, where the Saudi-backed government is battling Houthis.
He added that Saudi Arabia is "committed to work with us in the efforts to try to stabilize Syria and calm down this hyped-up, exploited division between Sunni and Shiite"
Saudi Arabia backs militant groups against Syrian President Bashar Assad.