The Marine and Fisheries Agency (MFA) invited applications from owners
of beam trawlers over 10 metres long to apply for grants for
decommissioning.
Sole are under pressure in the Western Channel and the EU Fisheries Council has set up a plan to manage stocks.
The money comes from a European grants programme and the MFA.
Stevenson and Sons will receive £920,000 for breaking up two trawlers, including the 283-tonne Daisy Christiane.
Beam trawlers are a type of vessel using strong outrigger booms to tow
the fishing gear. They are used mainly for gathering shrimp and
flatfish.
The boat owners have taken advantage of a scheme specifically for the area, which was launched in April.
An MFA spokesman said: "There have been similar schemes in the past,
but this a new one, deliberately targeted at conserving stocks in the
area."
Qualifying boats have to be more than 10 years old and hold an appropriate fishing licence.
Owners in Brixham, Shoreham and Plymouth have also accepted cash from the new scheme.
