The group is working to get a constitutional amendment legalizing marijuana on the ballot this fall.
State officials say there are disparities between the number of petitions and signatures ResponsibleOhio claimed to have collected and the number the group actually submitted to the Secretary of State's Office.
Officials also claim there are discrepancies between the hard-copy petitions and what should be identical electronic copies.
Husted's office says they issued a warning to ResponsibleOhio last month, claiming that The Strategy Network, the organization managing ResponsibleOhio's petition drive, was submitting an alarming number of fraudulent voter registration forms.
ResponsibleOhio Executive Director Ian James issued the following statement in response to Secretary Husted's announcement:
"When collecting signatures and registering Ohio voters, The Strategy Network follows the letter of the law. We are confident in our process, and we are currently reviewing the Secretary's requests.
"In the meantime, we will continue to gather signatures from Ohio voters who want the chance to vote in November to repeal marijuana prohibition and end the failed War on Drugs in our state."