Equipment wise, the French were using tanks that were based on how the last world war was fought. They focused on building mainly infantry support tanks (and the Somua S35 cavalry tank) that moved slowly, were heavily armored and used low velocity guns that were better at bunker busting than killing other tanks. The tanks were also attached to infantry units primarily and did not operate as an armored section.

They were easily outclassed by the more maneuverable, harder hitting, better communicating German tanks.

Their tactics, like their tanks were primarily focused on WWI trench warfare doctrine. This really showed with the well fortified Maginot line and also how they fought their retreat with Dunkirk.

During the Phoney war (the lull in major land movements of the allied and axis armies after the declaration of war by the allies) there were a few French attacks that tried to take away the Germans attention from Poland but quickly fizzled out because the doctrine of the French was too slow to make an impact on the more adaptable German army.

Does your question also includes the French colonies nationals who fought for France ( North & West Africans) ?

In terms of tactics, many of the French Army's shortcomings came from their continued reliance on the ideas of Marshall Petain, whose status as the Hero of Verdun ensured that his words would be taken as gospel.

Petain's doctrine was focused on a vigorous defense followed by a strong counter attack. Petain articulated this theory 1934-1935 when he was Minister of War, but in the 5 years since he left the post, French High Command had lost sight of the second half of his theory and focused entirely on defense. In addition, Petain believed that tanks were an important component of the Army but he believed their main purpose was to support infantry, unlike people like De Gaulle (and the Germans) who supported fully mechanized brigades.

This military theorem (as well as slashed military budgets by interwar governments) also contributed to the French Army's poor state of equipment. In 1936, when the Army badly needed re-equipment, 20% of the budget went to building new forts along the Maginot line. Instead of upgrading to radio like the rest of Europe's armies, the French army maintained reliance on horses, telephones, and railways. In 1936 the French army was assigned a new rifle, but less than a million had been distributed to the troops when war broke out in 1939.

In short, a reluctance to adapt to the changing face of warfare following World War I led to the French army being poorly equipped and over-reliant on an outdated military doctrine in 1939.

Source: The Last Great Frenchman by Charles Williams

In the same vein how well trained were the US troops compared to their European counterparts at this time?