The Duke of York, on the 2nd of October, made another attack on the French position between _Bergen_ and _Egmont-op-Zee_. The combined attacks were made in four columns; the division under General Sir Ralph Abercromby, being on the right, marched along the beach. The left of the French army was posted and concentrated about Bergen, a large village surrounded by extensive woods, through which passed the great road leading to Haarlem; between which and the sea was an extensive region of high sand-hills impassable for artillery. Behind the sand-hills, and to the enemy’s right, through the whole extent of North Holland, lies a wet and low country, intersected with dykes, canals, and ditches. The French centre was supported by the town of Alkmaar. The battle soon became serious in front of _Bergen_, upon which Lieut.-General Dundas had been ordered to proceed. Meanwhile Sir Ralph Abercromby had passed Bergen in order to turn the position of the French at _Alkmaar_, and overcame every opposition until he reached _Egmont-op-Zee_, which post was occupied in great numbers, and gallantly defended. Sir Ralph Abercromby, however, here overthrew a corps of the French army, and wheeling his division to the left, turned the enemy’s position at _Bergen_, upon which General Brune, the commander-in-chief of the French and Batavian army, fell back, taking up an equally strong position at a short distance to the rear. The THIRTY-FIRST regiment had an opportunity of distinguishing itself particularly throughout this arduous contest, which lasted from six in the morning until the same hour in the evening. In the attack of Bergen, the regiment took two pieces of artillery from the enemy; the corps on the right frequently charged with the bayonet, and lost a great number of men. The THIRTY-FIRST regiment had one serjeant and twenty-seven rank and file _killed_; Captain Smith, Ensign King, and fifty-five rank and file _wounded_. During the night of the 2nd of October, Bergen and Egmont-op-Zee were evacuated by the enemy. The army remained during the night on the ground it held at the close of the battle, and on the 3rd of October _Alkmaar_ was occupied by detachments of British troops. On the 6th of October, the advanced posts in front of Alkmaar, Egmont-op-Hooff, and Egmont-op-Zee, were pushed forward, preparatory to a general forward movement. At first little opposition was shown, and the British took possession of some villages, and of a position on the sand-hills near Wyck-op-Zee; but the column of Russian troops, under the command of Major-General D’Essen, in endeavouring to gain a height in front of their intended advanced post at Baccum, was vigorously opposed, and afterwards attacked by a strong body of the enemy.