The regiment spent the first half of the year refitting and training in preparation for the invasion of Europe. On 7 June 1944, the first three tanks of the regiment landed on Juno Beach. As part of the Battle of Caen, the Scots Greys took part in the fighting for Hill 112. During the fighting for Hill 112, the Scots Greys came to realise disparity between the Sherman II's and the latest German armour, including the new Panthers. In one incident, a 75mm equipped Sherman of the Scots Greys hit a Panther at 800 yards four times. All four rounds impacted harmlessly on the Panther's frontal armour.
Once the breakthrough was achieved, the Scots Greys took part in the pursuit of the retreating German forces. The Scots Greys saw action at the Falaise pocket, the crossing of the Seine, and was one of the first regiments to cross the Somme River at the beginning of September 1944. After crossing the Somme, the Scots Greys, along with the rest of the 4th Armoured Brigade, moved north into Belgium, near Oudenarde.
In mid September, the Scots Greys took part in the Operation Market-Garden, in particular the fighting around Eindhoven where the 101st Airborne landed to capture the bridges.The Scots Greys would operate in the Low Countries for the rest of the year. The regiment saw action in operations helping to capture Nijmegen Island, and the area west of the Maas. The regiment also helped to capture the Wilhelmina Canal and clear German resistance along the Lower Rhine to secure the allied flank for the eventual drive into Germany.
After nearly six months of fighting in the low countries, the Scots Greys entered Germany as part of Montgomery's Operation Plunder offensive. On 26 February, the Scots Greys crossed into Germany. Little more than a month later, the regiment was involved in the capture of Bremen.
With Germany crumbling, Allied commanders began to become concerned with how far the Red Army was advancing into Western and Central Europe. To prevent possible post-war claims over Denmark, the Scots Greys and 6th Airborne Division were tasked with the job of extending eastwards past Lübeck. Despite having been in action for three months, the Scots Greys covered 60 miles (97 km) in eight hours to capture the city of Wismar on 1 May 1945. . The regiment captured the town just hours before meeting up with the Red Army.
The final surrender by the surviving Nazi officials on 5 May 1945 marked the end of the war for the Scots Greys. With no further fighting in the regiment's near future, the Scots Greys immediately began collecting horses to establish a regimental riding school at Wismar.