About 765,000 cars will be recalled in Japan, with about 100,000 units of its luxury Infiniti M sedan being called back in North America.
Another 24,000 vehicles in Oceania and others in Europe, the Middle East and Asia were also being recalled, a company spokesman said.
The recall comes after more than 1,400 complaints from customers, mostly in Japan.
No accidents tied to the accelerator glitch have been reported, the spokesman said.
If drivers step on the accelerator pedal at an angle, sensors measuring pressure exerted on the pedal can malfunction, causing an engine stall, Nissan said.
Japanese automakers, including Nissan rivals Toyota and Honda, have recalled millions of vehicles in recent years, dealing a blow to their reputation for safety and quality.