The company "has been studying various options to allow broad public participation in its equity", a statement said.
This would be through the listing on capital markets "of an appropriate percentage of the company's shares and/or the listing of a bundle (of) its downstream subsidiaries," it said.
"This proposal is consistent with the broad and progressive direction pursued by the kingdom for reforms, including privatisation in various sectors of the Saudi economy and deregulation of markets, which the company strongly supports," it added.
Saudi Aramco said that, after studying the options, the findings will be presented to the board of directors, which will make recommendations to the company's Supreme Council.
The council is chaired by Prince Mohammed and has overseen Saudi Aramco since it was separated from the oil ministry last year.
The kingdom is confronted by unusual economic challenges caused by plunging global oil prices.
Last week, it reported a record deficit of USD 98 billion for 2015.
In an unprecedented departure from its decades-old generous welfare system, Riyadh's budget last week announced rises in fuel, electricity, water and other prices.
