The video had logged almost 13 million views at Twitter as of early Tuesday in California, and been "retweeted" more than 110,000 times.
With its unusual, disgusting trapezoid shape, there is only one place that Tesla's Cybertruck is likely to fit in: A Nintendo 64 game from 1997.
The Ford tweet said: "Send us a Cybertruck and we'll do the apples-to-apples test for you".
"Bring it on", Musk fired back.
Ford claimed it was not a fair contest because the F-150 was lighter and only rear-wheel-drive, versus the heavier all-wheel-drive Cybertruck.
On November 22, the big reveal of Tesla's electric pick-up went embarrassingly wrong when the supposedly impact-proof windows smashed, leaving a flustered Elon Musk to flounder through the rest of his presentation in front of a badly damaged vehicle.
Lego, manufacturer of popular interlocking plastic bricks, has shared its own version of a futuristic vehicle, taunting at Tesla with claim of Guaranteed shatterproof.
He said the entry-level model will have a starting price of $39,900 and a 400-kilometer (250-mile) range, while a deluxe option will be able to travel twice the distance and will sell for $69,900.
This story has been published from a wire agency feed without modifications to the text.