Home Secretary Theresa May said the government would make the “minimum possible changes” to comply with a 2010 Supreme Court ruling.
She said ministers were “appalled” by the ruling and the bar for appeals would be set as “high as possible”.
Sex offenders will only be able to appeal 15 years after leaving prison.
The Supreme Court ruled that denying offenders the right of appeal was incompatible with their human rights.
But shadow home secretary Yvette Cooper said the ruling did state that it should be “open to Parliament” to maintain the current position if it saw fit, so long as there was provision in law to review matters in future if it became appropriate to do so.
She also said Labour was not convinced the new regime was tough enough to guarantee public safety.
“Given the current evidence on repeat sex offending, it is hard to envisage any circumstances in which people will think it is justified to take someone who has been convicted of a serious sex offence off the register,” Ms Cooper said.
“Yet the home secretary’s scheme makes it possible for the police to do exactly that with no appeal for victims or the public, and no consideration of Parliament’s views on the wider risks and the importance of a strong precautionary approach.”