Buhari said anyone trying to steal or destroy ballot boxes and voting material in the election now scheduled to take place this coming Saturday would be dealt with firmly.
"I have briefed the law enforcement agencies and the military".
Tinubu who spoke to journalists after the caucus meeting of the party held at its national secretariat in Abuja on Monday, maintained that the electoral law mandated political parties to stop campaigns twenty four hours prior to the election.
Nigeria's main opposition party, the People's Democratic Party (PDP), said it was a "direct call for jungle justice".
In a statement by Kola Ologbondiyan, its spokesman, the PDP said Buhari resorted to threat having realised that he would lose the election.
Just hours to the commencement of the polls on February 16, the commission postponed the elections for an extra week due to logistical problems and claims of attempted sabotage.
He said: "Serious inconveniences has been caused, Nigerians have been subjected to rude shock and I fell extremely cold".
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CUPP particularly flayed the statement of the National Chairman of the APC, Adams Oshiomhole for his attack on INEC leadership tantamount to calling for the sack of the INEC Chairman, Professor Mahmood Yakubu and some Resident Electoral Commissioners as mischievous.
The Nigerian leader, visibly unhappy, was reacting to the postponement of Nigeria's general election by the country's electoral umpire, Independent National Electoral Commission (INEC).
The President maintained that the APC remains committed to ensuring a free, fair and credible elections.
The PDP called on Nigerians and the worldwide community to hold Buhari responsible for any electoral crisis.
He urged the party members to go out and seek votes for the president adding that he will only reward them financially when the result of the election favours his party saying he had enough money to bankroll elections without requesting any money from Buhari or dipping his hands in Lagos State's treasury.
The Nigerian Army had earlier said it would deploy personnel for the elections, but only on contingent bases on the outer perimeter of communities rather than near polling units.