The government said it has accepted all but one of the recommendations relating specifically to Horizon.
More than 900 sub-postmasters were prosecuted after the faulty Horizon computer system made it look like money was missing from their branch accounts.
Hundreds of others poured their own savings into their branch to make up apparent shortfalls in order to avoid prosecution.
Making the announcement, Business Secretary Peter Kyle said there was “clearly more to do to bring justice to those affected” and accepting the recommendations was a “crucial step” towards doing this.
There are four compensation schemes for victims in various circumstances, but they have been criticised for being too slow and complicated and for only paying out fractions of the claims made.
Changes announced by the government on Thursday mean that victims who have sought compensation through the Horizon Shortfall Scheme (HSS) – which accounts for more than half of the compensation claims paid out so far – are now eligible for government-funded legal advice.
This brings it in line with the three other schemes.
