The new truck, made of stainless steel and priced at $39,000 and above, failed to impress Wall Street last week after its "armored glass" windows shattered in a launch demonstration and analysts argued the design would not have mass appeal.
Tesla opened preorders immediately, however, and allowed potential buyers to book the truck by depositing just $100, compared to the $1,000 Tesla charged for booking Model 3 sedans in 2016, drawing the flood of reservations and sending the company's shares back up on Monday.
The Silicon Valley carmaker received 325,000 orders for the Model 3 in the first week of bookings three years ago, and the initial number for the trucks suggested preorders could rival that.
Shares of the company were up at $345.50 in premarket trading.
The billionaire has long been using his 30 million Twitter following as a platform to sell Tesla's vehicles but landed in trouble last year when he tweeted in he would be taking Tesla private before later withdrawing the statement.
As a result he agreed with U.S. regulators to submit his public statements about the company to vetting by its legal counsel. Tesla did not respond to Reuters inquiries as to whether the weekend's tweets had been vetted.
Not all orders translate into sales as many are likely eventually to be canceled and money refunded to depositors. Tesla plans to start manufacturing the Cybertruck around late-2021.