The President also condemned the latest bomb blasts which occurred in Yobe and Kano on Tuesday, where Boko militants were blamed for killing around 27 people.
However, according to Al Jazeera, soldiers from Chad reportedly killed over 200 Boko Haram fighters in clashes near a Nigerian town close to the border with Cameroon.
Niger, Cameroon and Chad have launched a regional military campaign to help Nigeria defeat the Boko Haram insurgency, which aims to carve an Islamic emirate out of north-eastern Nigeria.
In a statement through one of his officials, Mr Goodluck said: "The President assures all Nigerians and the people of the North-Eastern states in particular that the days of mourning victims of incessant terrorist attacks in the country will soon be over as the tide has now definitely turned against Boko Haram.
"President Jonathan further assures the people of Nigeria that the gallant, courageous and patriotic officers and men of the Nigerian Armed Forces, supported with new platforms, equipment and logistics provided by the Federal Government will carry the ongoing operations against the terrorists through to a successful conclusion in the shortest possible time."
Nigeria's presidential and parliamentary elections have been postponed until the 28 March to give troops more time to defeat Boko Haram.
Mr Jonathan is facing a strong challenge from ex-military ruler Muhammadu Buhari in the poll.