The bill is a major update to existing crime legislation, with new measures to tackle knife crime, violence against women and girls, cyber crime, child sexual abuse and terrorism.
It is one of a number of new powers in the Crime and Policing Bill, set to become law later this year, to address what the home secretary has called an "extremely frustrating" situation for victims of crime.
Ministers have also proposed specific new criminal offences in the bill, for assaulting a shopworker - carrying a maximum sentence of six months; "cuckooing", in which a vulnerable person's home is used for illegal activities such as drug dealing; and climbing on war memorials.
People who have tracked the location of their stolen mobile phones, laptops or bikes can expect swifter police action under new measures to be introduced to parliament today.
The home secretary said: "For too long communities have had to put up with rising town centre and street crime, and persistent antisocial behaviour, while neighbourhood police have been cut.