Elon Musk made the promise on Twitter after asking his followers for suggestions about how the firm could improve.
He said the open-backed truck would follow the Model Y - a yet-to-be detailed car, which is expected to be based on its Model 3 sedan.
But experts note Tesla has suffered repeated delivery delays.
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I promise that we will make a pickup truck right after Model Y. Have had the core design/engineering elements in my mind for almost 5 years. Am dying to build it.
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Demand for the trucks has also risen over the past 12 months, despite a drop for other types of "light vehicle".
Mr Musk had previously hinted at his plans when an image showing an obscured pick-up was briefly shown being carried on the back of its Semi lorry at a press conference in November.
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In his tweets, Mr Musk said the vehicle would likely be "slightly bigger" than Ford's bestselling F-150 pick-up to allow it to contain an unspecified "game-changing" feature.
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windscreen wipers that automatically change speed based on how much rain there is - a facility already offered by Volkswagen, Volvo and Mazda, among others
"vastly better" maps and sat-nav software
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Mr Musk's ambitions contrast with Tesla's recent performance.
In November, the firm declared its biggest quarterly loss to date - $619m - and admitted that it was months behind schedule with Model 3 deliveries.