The bill would also make it an offence for a person to “pretend to be a counsellor or psychotherapist” without holding relevant qualifications and being registered with the Health and Care Professions Council.
People who violate the proposed law, which is similar to laws that exist in 15 US states, would be guilty of an offence that could carry a maximum fine of £5,000.
“It is shocking that 7 percent of LGBTQIA+ people in the UK have been offered or undergone conversion therapy.
“Practices which seek to ‘cure’ or correct people’s sexual orientation or gender identity have been proven to have a harmful impact upon the mental health of those it purports to treat with some victims experiencing Post Traumatic Stress Disorder long-term as a result.
The MP has been campaigning for action on the issue for years.
However, the government is yet to put forward more detailed proposals.
In an interview with PinkNews in February, junior equalities minister Baroness Williams said: “It takes different forms, conversion therapy, it is not a simple thing, and we are doing some research, looking into what the right solutions are, both in the legislative space and the non-legislative space.