The Mounties made the announcement in a news release Friday afternoon about the probe that began after allegations were made about Redford in the 2014 Alberta auditor general's report.
Merwan Saher found "false passengers" were booked on at least a dozen government flights, making it possible for Redford to fly alone with her entourage while she was premier.
Last August, the Government of Alberta asked the RCMP to review the report and conduct any investigations police deemed appropriate.
Investigators reviewed the report and conducted followup interviews as is their standard practice, RCMP said.
"In the interest of thoroughness, the RCMP interviewed a wide range of individuals who provided us with information related to the auditor general's report," the force's Assistant Commissioner Marlin Degrand said in the news release.
"We thank them for their co-operation, and the file is now concluded."
The RCMP said it has advised the government and Redford of the findings.
Redford resigned as premier on March 23, 2014, amid growing controversy over her spending on travel, her use of government airplanes and her leadership style.
She resigned as a member of the legislative assembly for the riding of Calgary-Elbow on Aug. 6, two days after Alberta Justice obtained a legal opinion that criminal charges against her were possible.