"The United States will play a major part in the future but the nation will never be as powerful as it was in the last three decades," Kwaśniewski said during a security conference in Prague on Wednesday.
The former president of Poland added that the emerging global order would take shape under the impact of a commencing era of chaos.
Kwaśniewski also named India and the European Union as the other two global powers. However, it is not that straightforward for Brussels.
The EU will have to continue with the reforms to become one of the main actors in the global arena. Brussels will also have to deal with an increasing wave of national egoism plaguing the union, according to the politician.
Kwaśniewski, who served as the president of Poland from 1995 to 2000, also shared his take on Russia's relations with its neighbors. The politician emphasized that Russia does not intend to take over the Baltic states (which Moscow has never sought in the first place). But he believes that Russia is interested in Kiev.
"Moscow will continue to exert economic pressure on Ukraine, it will use propaganda and seek other ways to get Ukraine in its entirety," said the politician, who currently seats on the board of directors of Burisma Holdings, a major Ukraine's energy company.
Kwaśniewski was also involved in the talks on the association agreement between the EU and Ukraine.
Kwaśniewski referred to Moscow's plan for Ukraine as a Maidan 3.0, under which Russia will allegedly make every effort to bring new people to power in Kiev. "This leadership will have nothing against Europe but will say, 'We are not dreaming about anything unrealistic. Our dreams are realistic. And the realistic dream is Russia,'" he claimed.
For its part, Russia has repeatedly denied the baseless allegations of fueling the conflict between Kiev and independence supporter.
Moreover, Moscow has been actively engaged in promoting peaceful resolution of the Ukrainian civil war through the full implementation of the Minsk II accords.
Earlier this month, Kwaśniewski said that Russia wants Ukraine to become a part of the Eurasian Economic Union (EEU). The Russia-led EEU is a vibrant new entity established on January 1, 2015.
The Union, comprising Armenia, Belarus, Kazakhstan and Russia, envisages a free flow of goods, services, capital and labor across its member countries. It also aims at establishing a single economic market from the European Union to China.