The opposition All India United Democratic Front (AIUDF) too has condemned the incident as "unfortunate" and demanded a CBI inquiry into it.
"The manner, in which the youth was dragged out of custody and killed brutally by a mob on the streets, is highly condemnable," Gogoi said in a statement.
He termed the act as "barbaric, heinous and inhuman" and said that no one could take law unto their hands and stern action must be taken against those involved in the "heinous crime".
Gogoi also said that the incident has been taken up at both Chief Ministerial and Chief Secretary levels.
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Meanwhile, opposition AIUDF President Badruddin Ajmal said the incident was "unexpected and unfortunate".
"The incident has created a communal tension in Dimapur. shops, business establishments and mosques are being vandalised now. We demand a CBI inquiry into the incident," he said in a statement.
He also said a delegation under the leadership of party MP Radheshyam Biswas will be sent to Nagaland to discuss the issue with the state government.