The French leader later said his white-knuckled grip had a deeper meaning.
While, it might be too soon to say what happened to President Trump in Paris, but it seems that he is now giving a thought to planet Earth.
Macron also said that the USA and France are firm friends and "this is why nothing will ever separate us".
Trump made no remarks at the conclusion of the parade, but he returned the kindness in a statement released as Air Force One flew back to the US.
Mr Macron thanked the USA for entering the First World War in 1917, the 100th anniversary of which was also celebrated during Friday's parade.
President Donald Trump has saluted as US troops pass during the French Bastille Day parade commemorating the 100th anniversary of the American entry into World War I.
Trump capped off his trip to France with a tweet, calling his meeting with Macron a "great honor".
And Trump's fawning over Macron extended to Brigitte Macron, whose physical appearance he commented on.
The leader of the free world may not know good music when he hears it, but you can.
Later on Friday, Mr Macron attended a memorial event in the southern city of Nice, on the first anniversary of the deaths 86 people, including children, after a Tunisian-born man drove a truck into a crowd watching a Bastille Day fireworks display. He won strong parliamentary majority and is riding high in the polls.
Macron is positioning himself to become Trump's European whisperer.
Putin had said it seemed to him that Trump had "agreed" but added "it's better to ask him about his attitude".
The parade featured French and American troops marching down the fabled Champs-Elysees and the traditional flypast of French jets, this year followed by the USA aerobatic team along with two F-22 stealth fighters.