In 1654 he had convoy duty in the Mediterranean. In 1656, in the Dutch-Portuguese War, he took two merchantmen during the blockade of Portugal. In 1658 he was flag captain of Vice-Admiral Michiel de Ruyter on the Hilversum while again blockading Portugal. In 1661 he served in De Ruyter's fleet in the Mediterranean. When the Second Anglo-Dutch War threatened he was on 29 January appointed temporary Rear-Admiral with the Admiralty of Amsterdam. In the Battle of Lowestoft in 1665 he was second in command in the squadron of Lieutenant-Admiral Jacob van Wassenaer Obdam, taking over command of this unit when the latter was killed because his flagship exploded. The battle was a heavy defeat for the Dutch and those captains fighting bitterly to cover the retreat of the fleet were seen as heroes, among them Van der Hulst who was promoted on 25 July to Vice-Admiral.
In the Four Days' Battle he was second in command in the squadron of Lieutenant-Admiral Cornelis Tromp. On the second day due to a communication mistake Tromp failed to follow the turn of the main body of the Dutch fleet into the back of the English fleet. As a result, his squadron became isolated and attacked by a superior English force. Before De Ruyter could break the English line and save Tromp's force, several ships had taken a horrible pounding, among them the Spiegel, Van der Hulst's flagship. He himself was mortally wounded by a musket ball in the breast. The Spiegel was abandoned but later salvaged.
Van der Hulst was buried in the Oude Kerk in Amsterdam; a marble grave memorial was later erected, a work of Artus de With.