The marijuana activist group Sensible B.C is behind the petition, which would work the same way as the petition that triggered the referendum that ended the HST.
Starting Sept. 9, the group will have 90 days to collect signatures from 10 per cent of registered voters in each of the province's ridings.
If they are successful, they could trigger a referendum on a draft bill, entitled the Sensible Policing Act, which would amend the Police Act.
The bill would prohibit the use of provincial police resources to enforce simple possession-and-use laws for adults.
Executive director Dana Larsen says even though pot laws are under federal jurisdiction, the province still has the power to tell police where to spend its resources.
"I think most British Columbians recognize that people who use marijuana whether for medical purposes or whether they simply choose marijuana instead of alcohol, those people are not criminals and that the prohibition we're engaging in now is criminalizing people that don't deserve to have that label," said Larsen.