Fraudsters are attempting to scare drivers into revealing personal information.
It is leading drivers to believe that they may be in trouble with the DVLA.
The DVLA has confirmed it doesn't send texts or emails with links to websites asking for motorists to confirm their personal details or payment information.
The phony website link included in the text may also include malware, a type of virus that lurks in your device to steal information, such as bank log-in details.
On Twitter, many people have been tweeting about the scam, with one claiming the domain is registered in Panama.
A DVLA spokeswoman said: 'We are aware that some members of the public are receiving emails and texts claiming to be from DVLA.
Last summer scammers also targeted people in Swansea, by claiming to be from the DVLA.
Swansea Council Trading Standards said it had seen a rise in complaints from people in the city who had reported receiving the malicious phone calls, where the caller asks for credit card and personal details.
Last year an email promising a refund of £240 was sent from scammers masquerading as the DVLA. It had a link to a 'secure web form' that's designed to collect personal information from unwitting recipients.
The email includes the DVLA's existing logo and fonts, which could dupe motorists into sharing their personal data.