AFP was unable to verify the army's claimed death toll or the social media reports about civilian deaths.
Poor access to Mali's conflict areas and a relative lack of independent information sources means that figures provided by either the government or armed groups are difficult to confirm.
An impoverished nation of around 21 million people, Mali has struggled to contain a jihadist insurgency that emerged in 2012, before spreading to neighbouring Burkina Faso and Niger.
Vast swathes of the country are home to a myriad rebel groups and militias, and thousands of soldiers and civilians have been killed in the conflict.
Mali's under-equipped army has also often been accused of committing abuses during the conflict.
According to a report seen by AFP, UN Secretary-General Antonio Guterres recently warned the UN Security Council that Mali's counter-terrorism efforts had "disastrous consequences for the civilian population".
In its statement Friday, Mali's army said it was guided by human rights and international law, and called for "restraint against defamatory speculations".
The country has seen an apparent uptick in violence in recent weeks. The UN said on Friday that thousands of people fleeing fighting in Mali have arrived in Niger.
A day earlier, the peacekeeping mission Minusma said that security had "deteriorated considerably" in the border area with Burkina Faso and Niger.