The Temporal API is a new proposal for handling dates and times in JavaScript, aiming to solve the issues with the current Date object. It introduces a ZonedDateTime object that can accurately represent dates and times with their corresponding time zone. This new API is designed to handle time zones and daylight saving time (DST) correctly, making it easier to work with dates and times in JavaScript. The proposal is currently at stage 3 and has production-ready polyfills available.