The reshuffle kept another son, Prince Abdulaziz bin Salman, as energy minister, the aged king said in the royal decree, carried by state news agency SPA.
King tells group of leaders from five religions that Saudi Arabia is returning to the era of Islamic openness of earlier ages.
The invitation comes after four commercial vessels were sabotaged off the coast of the UAE and Houthi militias used explosive-laden drones to attack two oil pumping stations in Saudi Arabia.
The kingdom intends to offer visits to historic sites such as Mada'in Saleh, a 2,000-year-old Nabataean city carved into the rocks of the northern desert.
“Lots of Israelis see Mohammad bin Salman’s assertiveness favorably and as a positive thing. But I think this conduct is reckless."
Maliki pushes back against reports that Saudi Arabia is pressuring Abbas to fall in line with Trump's regional peacemaking blueprint
Abbas’s meeting with the Saudi prince came a day after he met with Saudi King Salman.
Trump's first trip abroad as president was to Saudi Arabia, where King Salman gave him a remarkably warm greeting.
Arrest of numerous princes and businessmen in corruption probe aims to consolidate power and remake country, experts say.