The vast majority of people back the Queen for urging people to "come together" amid bitter division over Brexit.
Some 68% of people said she was right to do so, in a Sky Data poll conducted on Friday.
Only 13% of respondents thought the monarch was wrong, with 11% saying neither and 8% did not know.
Her Majesty made the intervention extolling the virtues of "respecting different points of view" in a speech to mark the centenary of the Sandringham Women's Institute.
She did not specifically refer to Brexit, but her comments have been interpreted by many as alluding to the UK's impending divorce from the EU.
Her Majesty returned to the theme of her Christmas Day message in a speech to mark the centenary of the Sandringham Women's Institute, of which she is president.
She said: "As we look for new answers in the modern age, I for one prefer the tried and tested recipes, like speaking well of each other and respecting different points of view; coming together to seek out the common ground; and never losing sight of the bigger picture."
But Labour leader Jeremy Corbyn didn't see it as an invitation to engage in cross party dialogue over Brexit - as Theresa May has called for.
He said: "It was such a nuanced message it could mean many things. She made view that people should come together as a country. Obviously was should come together as a country and engage in decent and respectful debate."
Tensions are running high among MPs, as overwhelming opposition remains to a key tenant of the prime minister's Brexit deal.
Tory Brexiteers are concerned about the backstop - which would see Northern Ireland aligned to some rules of the EU single market to prevent a hard border with the Republic of Ireland.
One of them, Mark Francois, invoked the Second World War to hit back at the German boss of Airbus warning a "no-deal" divorce could be catastrophic.
"My father was a D-Day veteran, he never submitted to bullying by any German - neither will his son," he told BBC News.
On Thursday, a Labour MP was forced to cancel a public meeting to discuss Brexit with her constituents.
Cat Smith scrapped the event amid warnings of "action" by "far-right extremists".
The UK is due to leave the EU by default on 29 March.
Brexit will happen with a deal if MPs and the European Parliament vote an agreement through.
It will happen without a deal if one fails at either stage, or if Brussels refuses to re-negotiate the deal brokered by Prime Minister Theresa May in November.
:: Sky Data interviewed a nationally representative sample of UK adults. Data is weighted to the profile of the population. Sky Data is a member of the British Polling Council and abides by its rules.
