Liverpool forward Mohamed Salah has been nominated for the Best FIFA Men's Player award for 2018.
The final three nominees will be announced on a date yet to be announced by Federation Internationale de Football Association with winners likely to be announced in London on 24 September.
Rounding up the list are World Cup winners Antoine Griezmann and Raphael Varane.
Spaniard Guardiola masterminded City's dominant Premier League campaign, while German Klopp won many plaudits for the approach of his side on their European run, which ended with defeat to Real Madrid in Kiev.More news: China Announces Steps To Support Growth Amid Rising Trade Tensions
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There is, however, no place for Neymar, who finished third in last year's voting, after an injury-hit season with PSG and hard World Cup that saw Brazil knocked out at the quarter-final stage by Belgium.
France coach Didier Deschamps and compatriot Zinedine Zidane, who led Real Madrid to a third successive Champions League title, headlined the 11 candidates in the running for men's coach of the year.
Earlier this month, the 26-year-old signed a new five-year contract at Liverpool reputed to be worth around £200,000 ($263,000) a week, making him the highest paid player in the club's history. The group includes captain Wendie Renard of France, plus Dzsenifer Marozsan and Saki Kumagai, the captains of Germany and Japan.
Lyon boss Reynald Pedros has also been included in the shortlist after guiding the club to their third consecutive Champions League title, fifth in total, as well as their 16th league crown.