text: 152nd Infantry Brigade 5th Battalion, Queen's Own Cameron Highlanders
  2nd Battalion, Seaforth Highlanders
  5th Battalion, Seaforth Highlanders
  153rd Infantry Brigade
  5th Battalion, Black Watch
  1st Battalion, Gordon Highlanders
  5/7th Battalion, Gordon Highlanders
  154th Infantry Brigade
  1st Battalion, Black Watch
  7th Battalion, Black Watch
  7th Battalion, Argyll and Sutherland Highlanders
  126th (Highland) Field Regiment, Royal Artillery
  127th (Highland) Field Regiment, Royal Artillery
  128th (Highland) Field Regiment, Royal Artillery
  61st (West Highland) Anti-Tank Regiment, Royal Artillery
  40th Light Anti-Aircraft Regiment, Royal Artillery
  1st/7th Battalion, Middlesex Regiment (machine gun battalion)
  7th Battalion, Royal Marines (under command 19 to 29 July)
  274th Field Company, Royal Engineers
  275th Field Company, Royal Engineers
  276th Field Company, Royal Engineers
  239th Field Park Company, Royal Engineers
  23rd Armoured BrigadeHQ 23rd Armoured Brigade HQ fought as Arrow Force in mid-July with 2nd Battalion, Seaforth Highlanders (from 152nd Brigade) under command together with elements of 50th RTR and 11th (HAC) Regiment, Royal Horse Artillery as well as an Anti-Tank battery and a machine gun company.
  50th Royal Tank Regiment
  46th (Liverpool Welsh) Royal Tank Regiment
  40th (The King's) Royal Tank Regiment
  11th (Queen's Westminsters) Battalion, Kings Royal Rifle Corps
  British 231st Infantry Brigade
  2nd Battalion, Devonshire Regiment
  1st Battalion, Dorsetshire Regiment
  1st Battalion, Hampshire Regiment
  165th Field Regiment, Royal Artillery