People found guilty of harassing or stalking a police officer or members of their family could face up to 10 years in prison under new laws proposed by the South Australian government.

Opposition Leader Vincent Tarzia provided bipartisan support for the draft legislation as he shared how he had "someone rock up" unexpectedly at his home at the weekend.

Premier Peter Malinauskas announced harsher punishments would be sought for offending against police officers as he addressed a conference of police union delegates in Adelaide on Tuesday.

Current offences cover stalking and threats made to police officers when the conduct relates to the officer's official duties, but not for just being a member of the force.

The legislation would create a new offence and penalty for stalking and harassm

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