The announcement followed the successful firing of an unarmed Trident ballistic missile by HMS Vigilant during a test launch in the Atlantic Ocean last week, according to the the MoD.
HMS Vigilant is one of four Vanguard Class submarines which maintain the UK's nuclear deterrent.
The Vanguard submarines will be replaced from 2028 by the Successor which is currently being designed by British companies.
As a result of this latest announcement, BAE Systems will proceed with an additional £315 million worth of work, with a further £38 million carried out by engineering support services company Babcock
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The programme, which has been in place since 2015, is being axed following feedback from customers.
The 64-year-old’s victory will bring in a new system transferring all executive powers to him.
Last week, the Government announced the NHS would receive an additional £20 billion a year in real terms funding by 2024.