Forces and resources of the European combatants.

In September 1939 the Allies, namely Great Britain, France, and Poland, were together superior in industrial resources, population, and military manpower, but the German Army, or Wehrmacht, because of its armament, training, doctrine, discipline, and fighting spirit, was the most efficient and effective fighting force for its size in the world. The index of military strength in September 1939 was the number of divisions that each nation could mobilise. Against Germany's 100 infantry divisions and six armoured divisions, France had 90 infantry divisions in metropolitan France, Great Britain had 10 infantry divisions, and Poland had 30 infantry divisions, 12 cavalry brigades, and one armoured brigade (Poland had also 30 reserve infantry divisions, but these could not be mobilised quickly).

It was the qualitative superiority of the German infantry divisions and the number of their armoured divisions that made the difference in 1939. The firepower of a German infantry division far exceeded that of a French, British, or Polish division; the standard German division included 442 machine guns, 135 mortars, 72 antitank guns, and 24 howitzers. Allied divisions had a firepower only slightly greater than that of World War I. Germany had six armoured divisions in September 1939; the Allies, though they had a large number of tanks, had no armoured divisions at that time.

The six armoured, or panzer, divisions of the Wehrmacht comprised some 2,400 tanks. And though Germany would subsequently expand its tank forces during the first years of the war, it was not the number of tanks that Germany had (the Allies had almost as many in September 1939) but the fact of their being organise into divisions and operated as such that was to prove decisive. In accordance with the doctrines of General Heinz Guderian, the German tanks were used in massed formations in conjunction with motorised artillery to punch holes in the enemy line and to isolate segments of the enemy, which were then surrounded and captured by motorised German infantry divisions while the tanks ranged forward to repeat the process: deep drives into enemy territory by panzer divisions were thus followed by mechanised infantry and foot soldiers. These tactics were supported by dive bombers that attacked and disrupted the enemy's supply and communications lines and spread panic and confusion in its rear, thus further paralysing its defensive capabilities. Mechanisation was the key to the German blitzkrieg, or "lightning war," so named because of the unprecedented speed and mobility that were its salient characteristics. Tested and well-trained in manoeuvres, the German panzer divisions constituted a force with no equal in Europe.

The German Air Force, or Luftwaffe, was also the best force of its kind in 1939. It was a ground co-operation force designed to support the Army, but its planes were superior to nearly all Allied types. In the rearmament period from 1935 to 1939 the production of German combat aircraft steadily mounted.

The standardisation of engines and airframes gave the Luftwaffe an advantage over its opponents. Germany had an operational force of 1,000 fighters and 1,050 bombers in September 1939. The Allies actually had more planes in 1939 than Germany did, but their strength was made up of many different types, some of them obsolescent. Great Britain, which was held back by delays in the rearmament program, was producing one modern fighter in 1939, the Hurricane. A higher-performance fighter, the Spitfire, was just coming into production and did not enter the air war in numbers until 1940. The value of the French Air Force in 1939 was reduced by the number of obsolescent planes in its order of battle: 131 of the 634 fighters and nearly all of the 463 bombers. France was desperately trying to buy high-performance aircraft in the United States in 1939.

At sea the odds against Germany were much greater in September 1939 than in August 1914, since the Allies in 1939 had many more large surface warships than Germany had. At sea, however, there was to be no clash between the Allied and the German massed fleets but only the individual operation of German pocket battleships and commerce raiders.