The 209th Shaheen Corps of the Afghan National Army said the operations were conducted in the past 24 in Surkh Kotal area of Dand-e-Ghori district.
According to the 209th Corps, at least 21 militants were killed and 20 others were wounded during the operations supported by the Afghan Air Force.
At least two key commanders of the Taliban group identified as Qari Bakhtiar and Mullah Sahwali were among those wounded.
The Afghan forces also discovered and defused at least 10 Improvised Explosive Device (IED) during the operations, the 209th Corps added.
The anti-government armed militant groups including the Taliban insurgents have not commented regarding the report so far.
The security situation in Baghlan province has been sharply deteriorating during the past few months as a result of the Taliban-led insurgency.
The Afghan National Security and Defense Forces (ANSDF) managed to end siege of at least three military bases in this province recently which resulted into the rescue of over 100 trapped security personnel.
The security situation in Baghlan started to deteriorate earlier this year following the launch of a military operation in Dand-e-Ghor and Dand-e-Shahabuddin areas near the provincial capital.