AFP drops 'Mediscare' text campaign investigation

Federal police say no commonwealth offences were committed when text messages were sent to voters on election day pretending to be from Medicare.

The coalition referred the matter to the AFP on July 2 after voters were sent messages warning them of the prime minister's plan to "privatise" Medicare.

The AFP on Tuesday said it had evaluated the matter but did not identify any commonwealth offences.

"Time is running out to Save Medicare," the text said.

Labor frontbencher Andrew Leigh said the government's claim that the texts were illegal was "ridiculous".

He also rejected calls for tighter laws around robocalls and text messages during election campaigns.

"If they hadn't have had such a terrible track record on Medicare, Labor wouldn't have been campaigning on Medicare," he told ABC radio.

Prime Minister Malcolm Turnbull used his election night speech to slam the text messages, insisting his government had faced some of the "most systematic, well-funded lies ever peddled in Australia".

He described it as a "shameful episode in Australian political history".

He said police would "no doubt" investigate the incident.