A lawsuit filed in August by the Coalition to Preserve Arkansas Values (CPAV) had sought to get the proposal off Arkansas' November ballot.
The high court disagreed with the lawsuit.
The CPAV had asked the justices to review the "legal sufficiency of the popular name and ballot title" of the Arkansas Medical Marijuana Act. The coalition felt that the Act would conflict with the state and federal constitutions and would violate state and federal law.
The court disagreed, saying in its opinion: "..we hold that the popular name and ballot title are an intelligible, honest, and impartial means of presenting the Act to the people for their consideration."
The coalition has five days to ask the court for a rehearing.
The court's opinion is attached below.
Click here to read the Arkansas Medical Marijuana Act