0607 GMT July 03, 2022
After dozens of French boats were denied post-Brexit fishing licences for UK and Jersey waters, France threatened to block ports to British vessels.
But Johnson told the BBC the things that united the UK and France were more important than their divisions.
The French president said the row was a test of the UK's global credibility.
France has said it will take "targeted measures" against the UK if the row over fishing licences is not resolved by Tuesday.
The UK government said it was prepared to continue working with the French government to issue more licences, but if France proceeded with its threats the UK would "act in a calibrated manner".
Pressed on how the UK would respond to the threats as the G20 group of major economies met, the prime minister told the BBC: "We're going to get on and do the things that matter to both of us and make sure that we work together on tackling the big issues that face the world."
He said that "there's some turbulence in the relationship", referring to a letter in which the French Prime Minister Jean Castex said the EU must demonstrate in this dispute that there was "more damage to leaving the EU than remaining there".
"If one of our partners decides to breach the Trade and Cooperation Agreement that we struck, that's a matter that we have to pursue," Johnson said.