The British Pakistani Christian Association is attempting to compile a report documenting the hate crimes that ex-Muslims have suffered from some members of their former communities.
Wilson Chowdhry, the chairman of the organisation, told Premier News Hour that some people who have left the religion have reported harassment.
"An individual from Ilford described how every night outside his home, men would accumulate, start saying prayers and through anti-social behaviour try and reconvert him back to Islam.
"They'd damage his vehicle, throw rubbish outside his home and in the end he had to move away."
Chowdry claimed that under the current law, some crimes against ex-Muslims were listed as "neighbourhood disputes" instead of hate crimes.
He added that he hopes to produce enough evidence to the Government to reclassify the crimes as a hate crime based on conversion.
"We're hoping that once we submit this hate crime inquiry, it will start a debate and that debate will hopefully trigger changes to the Racial and Religious Hatred Act 2006 ensuring that apostasy crimes are classified within that act, enabling police to react better to these crimes."
Listen to Antony Bushfield speaking to Wilson Chowdhry here: