While Colorado voters approved the amendment last month, marijuana is still illegal under federal law.
Hickenlooper said a 24-member task force will be charged with resolving legal and logistical details needed to implement the amendment, which makes the use, possession and limited home-growing of marijuana legal for those 21 and older, The Denver Post reported.
"Voters were loud and clear on Election Day," Hickenlooper said in a statement. "We will begin working immediately with the General Assembly and state agencies to implement Amendment 64."
The panel that will work out the details of implementing the legalization will be comprised of lawmakers, cabinet officials, civic leaders and officials from groups representing employers, the legal community and marijuana advocates. It will be led by Jack Finlaw, the governor's chief legal counsel, and Barbara Brohl, executive director of the Colorado Department of Revenue, the Post said.