The UK home secretary is set to announce that any conviction that was imposed due to consensual homosexual activity will be included in a scheme to correct the wrongs of the past.
More convictions for same-sex sexual activity will be wiped from their records, as Priti Patel seeks to expand the government's disregards and pardons scheme from a narrow set of laws.
The Home Office said that the repealed offenses of buggery and gross indecency between men were the focus of the list.
If a person was convicted of a crime under the old laws, they can apply to have it wiped from their record.
An amendment to the police, crime, sentencing and courts bill will allow for the repeal or abolition of any civilian or military offence that was imposed due to consensual same-sex sexual activity.
All people who have been cautioned or convicted under the scheme will be pardoned, and anyone who has died before the changes came into effect will be posthumously pardoned.
There should be no convictions for consensual activity between same-sex partners if the offences have been abolished.
I hope that expanding the pardons and disregards scheme will go some way to righting the wrongs of the past and to reassuring members of the LGBT community that Britain is one of the safest places in the world to call home.
She thanked Lord Cashman for raising the issue.
The scheme had not been extended according to Lord Lexden, a Conservative peer.
Cashman said in November that the disregard and pardon schemes in England and Wales are flawed because they only cover a small portion of the laws that have caused harm to gay and bisexual people.
The original scheme would not have included the offence of solicitation by men, which was used to entrap gay and bisexual men, sometimes for doing nothing more than chatting up another adult man.
The peers and Prof Paul Johnson welcomed the news.
For the past five years, the three of us have been working together on behalf of gay people in the armed forces and in civilian life, who have suffered grave injustice because of cruel laws which discriminated against them in the past.
The repeal of those laws has given parliament a duty to clean up the bad reputations of gay people over the centuries.
The legal arrangements to do this are drawn too narrowly. Many gay people who were the victims of injustice are not included. The careers of brave people in the armed forces were destroyed suddenly.
We have been pressing the government to widen the disregard and pardon schemes so that individuals' reputations can be restored. The government will bring forward amendments to the legislation. In close consultation, it has done this. Legislation will be in place soon to allow thousands of gay people to have their records wiped clean.
Many gay people, both living and dead, will finally be brought to justice thanks to our long campaign.
The Home Office said that the sexual activity must not be considered an offence today and that anyone else involved must have been over the age of 16.