18,017 people voted in Digital Spy's poll after two nude shots of the prince allegedly playing strip billiards were published on TMZ, with 62.2% saying they thought his antics were "fantastic".
A further 28.3% said that the situation was "forgivable", and only 9.5% said that they thought his actions were "inappropriate".
"Prince Harry has been the subject of criticism before, with previous controversies including his decision to wear a Nazi uniform to a fancy dress party," said DS editor David Moynihan.
"But in this 'new patriotism' era, post-Jubilee and whilst Britain is still basking in the stunning success of the London Olympics, it would seem the public are happy to accept that even the royals are allowed some fun."
He added: "It's probably fair to say that Harry gets away with these occasional antics as his brother Prince William and wife Kate are so impeccably behaved.
"But it's also clear that the majority of the British public are enthused with pride for their nation and its royal family at the moment - this is the British Summer of Fun."
The poll results in full: What do you think about Prince Harry's antics?
Disgraceful: 9.5% - 1,715 votes
Forgivable: 28.3% - 5,100 votes
Fantastic: 62.2% - 11,202 votes
Total Votes: 18,017
Prince Harry's wild antics so far - photo gallery
Copyright: Rex Features Paul Grover/Rex Features