A further 21% of the 2,000 respondents, says the IT security vendor, argued that this type of protection was unnecessary, and 42% admitted it "hadn't crossed their mind".
This, says the firm, is a shocking revelation in the light of a string of attacks and security issues that have surrounded smartphones over the last six months, and with recent reports claiming a 250% rise in mobile malware during this time.
Claus Villumsen, a mobile security expert with BullGuard, said that it not really surprising that consumers haven't responded to this emerging threat.
"People want to buy products that `just work', and not concern themselves with jumping through more hoops once a device is up and running. The key thing to remember here is that Smartphones are effectively miniature computers and so are just as vulnerable", he explained.
The key issue, says BullGuard, is that there is a general lack of awareness about both the rising malware threat to smartphones and the potential for these devices to be just as - if not more - susceptible to attack than a desktop or notebook computer.
The company adds that its survey also indicated that 49% of users have never been concerned about accessing the internet from a mobile phone, and 32% had not thought about the potential risk.
This, notes the firm, does not sit well amongst statistics indicating that 55% of users were unaware that a mobile could get infected by a virus, yet 50% admitted to going online regularly.
Mobile users, says Villumsen, need to be educated about the increasing potential risk involved in using a Smartphone to access the internet, send emails and perform financial transactions.
"Our survey indicated that 88% of users claim not to be storing any sensitive data on their phone, but we suspect that in many cases this sort of data may be saved to the device without their knowledge" he said