- The anticipated showdown, which could take place as early as next week, comes shortly after Tesla unveiled its all-electric Cybertruck.
- During the promotional event in Los Angeles last week, Musk showcased a promotional video of the vehicle engaging in a tug-of-war battle against a Ford F-150.
- However, critics of the demonstration have since argued the test was unfavorable to Ford.
The anticipated showdown, which could take place as early as next week, comes shortly after Tesla unveiled its all-electric Cybertruck.
During the promotional event in Los Angeles last week, which turned into a somewhat embarrassing debut for the company's first electric pickup truck, Elon Musk showcased a promotional video of the vehicle engaging in a tug-of-war battle against a Ford F-150.
The 16-second clip, which has since been viewed more than 12 million times, shows Tesla's Cybertruck hardly breaking a sweat during the display, as it comfortably pulls a screeching Ford F-150.
However, critics of the demonstration have since argued the test was unfavorable to Ford.
Sundeep Madra, vice president at Ford X, sent a message via Twitter to Musk on Monday, apparently urging the Tesla CEO to send over a Cybertruck for an "apples to apples" tug-of-war test.
In a tweet directly replying to the Ford X vice president, Musk replied: "Bring it on."
A Ford spokesperson was not immediately available to comment when contacted by CNBC Tuesday morning.
Astrophysicist Neil deGrasse Tyson — who has previously suggested that he believes Musk is more important than Jeff Bezos, Steve Jobs and Mark Zuckerberg — was one of those skeptical about the legitimacy of the original tug-of-war test.
Tyson said the stunt may not have demonstrated the pickup truck's engine power, challenging Musk to "fully load" the Ford F-150, "giving highest traction to its rear wheels, then try to drag that up the hill."
Musk agreed to do that next week.
He has since suggested the next tug-of-war test will be available to watch via webcast.
On Sunday night, Musk said Tesla had received 200,000 orders for its Cybertruck, despite a botched demo that led to a broken window and sparked meme's making fun of the vehicle's steel trapezoid shape.
At the unveiling, Musk tried to showcase the Cybertruck's durability by having the company's design chief hurl a metal ball at one of the Cybertruck's armored glass windows.
The window ended up cracking. Then another ball was thrown at another window and it shattered, too.
— CNBC's Lora Kolodny contributed to this report.