The resolution calls for free navigation through the strait and an end to Iranian attacks on its Gulf neighbours.
The strait represents ‘a capability that can affect the entire global economy with a single decision’, politician says.
The Ministry of Defence says the ship will prepare to join an international mission to safeguard shipping, but only when fighting in the region ends.
Footage released by the Pentagon shows US strikes on two Iranian oil tankers in the Strait of Hormuz.
Brent crude rises amid clashes in critical waterway.
Iran accuses the US of violating the truce, alleging it targeted an oil tanker and carried out attacks on coastal areas.