The video shows footage of the three bombs that exploded within an hour of each other outside Jazira Hotel in the Somali capital, Mogadishu killing at least 11 people.
Police say that at least one of the bombs appeared to be a carried by a suicide bomber.
Al Shabaab, the Islamist militants in Somalia said on Thursday that they carried out the bombings and their target were the intelligence officials who were meeting at the Jazira hotel at the time.
"The apostates are the eyes and the ears of the invaders and these attacks serve as a well-deserved punishment for their role in guiding and assisting the invading forces in their crusade," their spokesman Ali Mohamud Rage said in a statement.
"This is the beginning of 2014," he also said in a New Year message, a day after the hotel attacks, "The fate of foreigners and local mercenaries will remain the same until they leave the country... they will have no safe haven in Somalia."
Al Shabaab are battling African peacekeepers for control of territory in southern and central Somalia. They once controlled most of southern and central Somalia but withdrew from fixed positions in Mogadishu two years ago. African Union troops -- including large contingents from Uganda, Kenya and Burundi -- have since recaptured a series of insurgent bastions and tried to prop up Somalia's fledgling government forces.
The hotel is one of the securest places in Mogadishu frequented by politicians and foreigners and the attack underscores the major security challenges facing the government.