The move, expected to take place on Wednesday, means US regulatory agencies are instructed to block business and financial transactions with Boko Haram.
It will become a crime under US law to provide material support to the group.
Boko Haram wants to impose Islamic law in northern Nigeria and has been blamed for thousands of deaths.
The group began its insurgency in 2009, and targets both the military and civilians, including schools, and frequently clashes with the Nigerian armed forces.
While Boko Haram’s main focus is Nigeria, the US has cited links to the al-Qaeda affiliate in West Africa, and extremist groups in Mali.
The US state department has not formally announced its decision to brand the group a terrorist organization.
However, the Associated Press news agency cited an unnamed US official, whilst Reuters quoted congressional sources and others briefed on the matter.
Nigeria’s government declared Boko Haram and another militant group Ansaru as terrorist organizations in June, warning that anyone who helps them will face a minimum prison sentence of 20 years.
The US’s decision will be welcomed by the Nigerian government and the Christian Association of Nigeria, which has long been campaigning for the US to declare Boko Haram a terrorist group.
The Obama administration had so far refused, fearing that it could give Boko Haram greater legitimacy in global jihadi circles.
The US is unlikely to identify Boko Haram’s financial backers, when the Nigerian government has up to now failed to do so.
Last year, top US diplomat for Africa Johnnie Carson said Boko Haram exploited popular discontent in northern Nigeria, and the government needed to tackle the political and economic grievances of the mainly Muslim population in the region.
However, Johnnie Carson acknowledged “reports of contact and growing relationships between elements of Boko Haram and other extremists in Africa, including al-Qaeda in the Islamic Maghreb”.
In August 2011, an attack on a UN building in Abuja, Nigeria, marked a turning point as a threat to US interests.
Last year, Lisa Monaco – now the chief counter-terrorism adviser to President Barack Obama – sent a letter to the state department saying Boko Haram met the criteria to be listed as a “foreign terrorist” group because, she said, it either engages in terrorism that threatens the US or has a capability or intent to do so.
The US state department later designated three alleged Boko Haram leaders as terrorists, but stopped short of a wider declaration against the group.
Boko Haram:
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