HMS Argyll will first deploy to the Gulf and then move on to Japan and South Korea.
The deployment was announced by the Prime Minister last year, in response to a series of missile launches by North Korea.
The frigate is expected to take part in military exercises with Japan.
Firing trials for the new Sea Ceptor air defence system on-board the vessel were successfully completed late last year. The completion of the firing trials from Type 23 frigate HMS Argyll means Sea Ceptor can proceed to the next stage of the acceptance into service with the Royal Navy.
Minister for Defence Procurement Harriett Baldwin said:
“In the face of intensifying global threats, cutting-edge systems like Sea Ceptor will keep the UK safe. These successful trials from HMS Argyll mark a major milestone towards the introduction of this world-class missile system into service for the Royal Navy.
Work to develop and install Sea Ceptor across the Royal Navy is also boosting British industry, supporting 600 jobs in the Bristol, Stevenage and Bolton areas.”
The first firings of Sea Ceptor were conducted from HMS Argyll at the Hebrides range off the coast of Scotland and involved firing the system to assess its performance against a range of scenarios.