The lawmakers, however, did not state when the president is expected to appear as they resolved to suspend the plenary session for three days to protest the killings.
The House also passed a vote of no confidence on the service chiefs in the country.
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The House further called on President Buhari to "within 24 hours" deploy full military presence in Benue State to uncover the killer herdsmen and prosecute them, adding that the marauders should be declared a "terrorists" group.
Sunday karimi (PDP, Kogi) said Nigerians are disappointed in the President, "Buhari is not the Buhari of 1985".
"Let him come here and appear to brief us".
The Speaker, Yakubu Dogara, presided over the plenary.
Oyegun, APC govs in closed door meeting
However, four out of the six state chairmen of the party in the zone have distanced themselves from the endorsement of Oshiomhole. The party chairman said he was fulfilled having piloted the affairs of the party to several electoral victories in the state.
"I move that we should summon Mr. President", Baballe said.
The decision of the lawmakers followed the adoption of a motion of urgent public importance by Mark Gbilah (APC, Benue), who said the Federal government failed in its primary responsibility of welfare and security of lives and property to the people of his State.
Another ruling APC member from Yobe State, Mr. Goni Bukar, seconded the motion before it was unanimously adopted by the members.
This is even as nineteen worshippers were killed in a Catholic church in Benue state.
He condoled with the government and people of Mbalom Community in Gwer East Local Government Area where the incident occurred.
Nigeria has been facing security challenges, ranging from Boko Haram insurgency in the Northeast, herdsmen and farmers' fights in the North Central States, among others.