Stiglitz said that creating a new worldwide tax system is realistic, but all nations would have to work together to agree rules and close loopholes.
The group of economists said in a statement that it was critical to "curb tax competition to prevent a race to the bottom."
Developed nations should take the first step by agreeing on a minimum rate of corporate tax, possibly under the auspices of the Organisation for Economic Cooperation and Development.
"We won't allow [companies] to simply shop around and avoid all taxes," said Stiglitz. "This is an idea whose time has come."
Among the key proposals, Stiglitz and his colleagues say that companies should pay tax based on national sales.
For example, Apple makes over 35% of its revenue in the United States, and so it should pay tax on this revenue to the U.S.