"Our wildlife, all our animals, belong to us. They should not be shot with a gun or with an arrow," Mugabe told thousands who gathered at a shrine on the outskirts of the capital Harare to commemorate Heroes' Day.
Read: 'Cecil the lion' trial postponed in Zimbabwe
"Even Cecil the lion is yours. He is dead. He was yours to protect and he [was] there to protect you," said the ageing president, who is often the target of condemnation over the country's human rights record.
Cecil was killed in early July by American dentist Walter Palmer who paid a local safari company owner $55,000 (50,000 euros) to shoot the beast with a bow and arrow.
The hunt provoked worldwide outrage when it emerged that Cecil was a well-known attraction among visitors to Zimbabwe's Hwange National Park — and was wearing a tracking collar as part of an Oxford University research project.
The local guide Theo Bronkhorst was arrested and charged with failure to prevent an illegal hunt. He was granted $1,000 bail pending his trial on September 28.
In his speech Monday, Mugabe lashed out at foreigners he said were destroying his country's wildlife and other natural resources.
"There are vandals who come from all over. Of course some may be just ordinary visitors but others want to vandalise, to irregularly and illegally acquire part of these resources."
Read: Major US airlines end trophy hunter shipments after Cecil outcry
Palmer, an experienced trophy hunter, became the target of vicious abuse and death threats over Cecil's killing, and went into hiding after demonstrations outside his dental practice.
He apologised for killing Cecil, known by his distinctive black mane, but blamed local guides for misleading him.
Zimbabwean authorities have since launched a crackdown on illegal hunting.
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