North Africa
In the days leading up to Operation Torch, the Allied invasion of North Africa, for which the 6th Armoured Division was to take part in as part of the British First Army, Hull was promoted to colonel and became second-in-command (2IC) of the 26th Armoured Brigade. Elements of the First Army landed in North Africa on 8 November 1942, with Hull's regiment being among them. A week later, shortly after landing, Hull was ordered to form Blade Force, based around the 17th/21st Lancers, along with part of the 1st Derbyshire Yeomanry (the 6th Armoured Division's reconnaissance regiment) and anti-tank and anti-aircraft guns, and to capture Tunis as soon as possible (see the run for Tunis). Sending his units by train to Constantine, he arrived there on the evening of 16 November, and, the following day, was on the border of Tunisia. Hull then headed towards Medjez el Bab, which was held by the French against the Germans. The armoured cars of the 1st Derbyshire Yeomanry arrived on 18 November, with the rest of Blade Force arriving soon after, but, lacking infantry support, were unable to capture the bridge.
Hull, with the 36th Infantry Brigade on his left flank, and the 11th Infantry Brigade (both from Major-General Vyvyan Evelegh's 78th "Battleaxe" Division) on his right flank, now decided to turn west, hoping to get to Tunis by a more northern route, with the aid of elements of the U.S. 1st Armored Division. However, this attempt also failed as the Germans had received reinforcements and, by the end of the month, the Allies were on the defensive and forced to withdraw from their positions. In December Blade Force was reabsorbed into the 6th Armoured Division, Hull returning to the 2IC of the 26th Armoured Brigade. For his services in the early stages of the Tunisian campaign Hull was appointed a Companion of the Distinguished Service Order on 11 February 1943.
By February 1943, the brigade was at Thala. In the middle of the month the Germans launched their attack at Kasserine Pass against US troops, forcing them to retreat. Lieutenant-General Kenneth Anderson, GOC of the British First Army, appointed Brigadier Cameron Nicholson, 2IC of the 6th Armoured Division, gave him command of Nickforce, an improvised formation. Nickforce held on until further reinforcements and fought the Germans to a standstill.
Hull was then promoted to brigadier and took command of the 12th Infantry Brigade, part of the 4th Mixed Division (which was composed of the 10th and 12th Infantry Brigades and the 21st Tank Brigade), then commanded by Major-General John Hawkesworth, which had arrived in Tunisia the month before, on 17 April. The brigade was heavy fighting just a week after Hull's assumption of command, where it was involved in taking a key position named Peter's Corner which, despite air and infantry tank support from the 21st Tank Brigade, failed with some 900 casualties, with the Germans putting up a tenacious resistance. Hull's brigade was relieved by the 78th Division's 11th Brigade soon afterwards and, due to its heavy losses, only managed to play a relatively minor role in the First Army's capture of Tunis, which fell on 6 May 1943, the campaign in Tunisia itself coming to an end a week later with the surrender of almost 250,000 Axis troops.
Over a month later, on 19 June Hull returned to the 6th Armoured Division, still commanded by Keightley, where he took over command of the 26th Armoured Brigade from Brigadier Philip Roberts, which was then training in North Africa for operations in Italy, before returning to the United Kingdom, becoming Deputy Director of Staff Duties (DDSD) at the War Office, in December 1943. The appointment was an important department within the General Staff and was responsible for staff training and for the organisation of the army in general. Soon after taking up this position, Hull was, in late January 1944, mentioned in despatches for his services in North Africa.