Khalid Naciri, communications minister, said that investigators would pursue all leads including possible links to al-Qaeda which operates a North African offshoot which is active in the region.
"All leads will be investigated, including al-Qaeda," he said.
"The investigation continues to find the perpetrators, but for the moment I am not prepared to point the finger."
Fourteen people, most of them foreigners, died Thursday when a suspected suicide bomb exploded at a crowded tourist cafe in Djemaa el-Fna, the main square of Marrakesh.
A total of 23 others were badly injured, two of whom died overnight, bring the toll to 16 Friday.