The attacks were carried out on Saturday in the Orazkai and Khyber regions near the border with Afghanistan, they said.
The Pakistani military has killed nearly 100 people in air raids in tribal areas in the country's northwest, officials say.
In Orakzai, 54 people said to be "militants" by the Pakistani army were killed during clashes over a checkpoint near the town of Baizoti, Samiullah Khan, a local official, told the Associated Press news agency on Saturday.
His comments came after it emerged that another raid had killed more than 40 people in the Tirah area of the Khyber region.
"At least 42 militants of Lashkar-e-Islam were killed and two militant hideouts were also destroyed," Shafeerullah Wazir, the Khyber administration chief, said.
"The death toll may rise as dozens of others were also injured in the airstrike."
Death toll confirmed
A military official confirmed that the incident had taken place and the death toll was correct.
"The air strike was launched on a tip-off that a meeting of the Lashkar-e-Islam group was going on in Tirah," the official told the Agence France Presse news service.
The area where the attack took place adjoins the northwestern city of Peshawar, scene of a series of bomb attacks blamed on the Taliban in recent months and increasingly viewed as a seat of instability in Pakistan.
"There was an attack by a fixed-wing aircraft," Kamal Hyder, Al Jazeera's correspondent in Pakistan, said quoting witnesses.
"A jirga [tribal meeting] was hit. After that nearby residents came to pull people out of the rubble. Then a second and, maybe, even a third wave of attacks hit them."
The violence came as a Pakistani military offensive against Taliban-allied fighters in Orakzai entered its 18th day.
The UN announced on Friday that the deteriorating security situation in Orakzai and Kurram has forced 200,000 civilians to flee since November last year.
According to officials, almost a hundred people suspected to be insurgents were killed in northwestern Pakistan early on Saturday by air strikes conducted by the military.

The strikes were made in tribal areas in the Orazkai and Khyber regions, located close to the Afghan border.

The reports say that in Orakzai, 54 people alleged to have been rebels were killed during an ongoing conflict at a checkpoint near the town of Baizoti. A further 42, suspected of being insurgents, were killed after military aircraft bombed a location believed to be a gathering place for members of the Lashkar-e-Islam rebel group, according to a local official speaking to the Associated Press.

"At least 42 militants of Lashkar-e-Islam were killed and two militant hideouts were also destroyed. The death toll may rise as dozens of others were also injured in the airstrike," commented Khyber administration chief Shafeerullah Wazir.

An unnamed official for the military also confirmed the air raids occurred, saying to the Agence France-Presse news agency that "the air strike was launched on a tip-off that a meeting of the Lashkar-e-Islam group was going on in Tirah."