Aboh, who represented Khonsa West constituency, was seeking re-election from the seat.
Apart from Aboh's son, the deceased included some other family members of the MLA.
Expressing shock and anguish over the attack, Union Home Minister Rajnath Singh termed it as an "outrageous attempt" to disturb peace and normalcy in the Northeast.
"The perpetrators of this heinous crime will not be spared. My condolences to the bereaved families," Singh said in a tweet.
His deputy Kiren Rijiju also demanded strongest possible action against those responsible for the dastardly attack.
Condemning the attack, NPP president and Meghalaya Chief Minister Conrad K Sangma sought the intervention of the Prime Minister's Office and Union Home Minister Rajnath Singh.
"The NPP is extremely shocked and saddened by the news of the death of its MLA Shri Tirong Aboh (Arunachal Pradesh) and his family. We condemn the brutal attack and urge @rajnathsingh and @PMOIndia to take action against those responsible for such attack," Sangma tweeted.
Initial reports suggested that seven people were killed in the attack, but the DGP put the death toll at 11 later in the day.
Army units have launched massive combing operations in the area to nab the perpetrators, Singh said, adding DIGP (East), IGP (Law & Order) and senior police officers of Tirap and neighbouring Changlang districts have reached Khonsa to supervise and coordinate with various security agencies for the operations.
Aruncahal Pradesh Chief Minister Pema Khandu said such "barbaric act" is not acceptable.
"Extremely shocked by unfortunate incident of killing of Khonsa MLA Tirong Aboh along with several others by insurgents. Strongly condemn this barbarous act. Action will be initiated to hunt down the perpetrators. My heartfelt condolence & may soul of those departed Rest In Peace," he tweeted.
Meanwhile, the Arunachal Pradesh Congress Committee alleged that the ruling Bharatiya Janata Party (BJP) was responsible for the "prevailing lawlessness and chaos" in the state and demanded a judicial inquiry into the incident.
"If elected representatives are not safe under the present dispensations at the Centre and the state, how can common people feel secure," the party said in a statement.
"Chief Minister Pema Khandu and his BJP government are solely responsible for lawlessness and all chaos in the state."
Aboh was elected from the Khonsa West seat in 2014 on a Peoples' Party of Arunachal (PPA) ticket.
Assembly polls were held concurrently with Lok Sabha elections in Arunachal Pradesh.
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