The official Saudi Press Agency said Sunday that the monarch's tour will also take in Indonesia, Brunei, Japan, China and the Maldives, AP reported.
Salman will also visit Saudi Arabia's neighbor Jordan before returning home.
OPEC kingpin Saudi Arabia is the world's largest oil exporter, with much of its crude destined for customers in Asia.
The kingdom is eager to attract investment as it diversifies its economy, including for its upcoming initial public offering of part of state oil giant Saudi Aramco.