http://www.onwar.com/chrono/1944/jun44/05jun44.htm#
AEF crossing the English Channel
Monday, June 5, 1944 www.onwar.com
Eisenhower speaks to paratroopers before their departure [photo at link]
On the Western Front... Allied airborne troops embark for Normandy just before midnight. The convoys carrying the Allied Expeditionary Force are nearing France.
From London... The BBC broadcasts a second message, intended for the French Resistance, warning of the imminent invasion. Again, the significance of the message is noted by German authorities but the 7th Army in Normandy is not alerted.
In Italy... The US 5th Army enters Rome in force and continues to advance in pursuit of the retreating German forces. Traffic congestion on the limited road network hinders the advance, as does the German rearguards.
In New Guinea... On Biak, elements of the US 41st Division continue to advance, reducing pockets of Japanese resistance. On the mainland, near Aitape, American forces evacuate one of their beachheads because of continuing Japanese attacks. The Japanese forces are sustaining heavy losses.
In Burma... A British flank attack at Kohima forces the Japanese forces off the Aradura Spur and into retreat. The road to Imphal remains blocked by Japanese forces.