He said the State Security Council would meet tomorrow (Tuesday) from 9:00am and based on its observations of the aftermath of the imposition of the curfew, it will re-examine the need to review the 24 hour curfew.
A statement by the Senior Special Assistant to the Governor on Media and Publicity, Samuel Aruwan, said: "A 24-hour curfew has been imposed on Kaduna town and its environs".
"The federal government and its law enforcement agencies will work with the state government and community leaders to ensure the full restoration of peace and security", Buhari said in another message.
A curfew was already in place in Kasuwan Magani.
A spokesperson for Governor Nasir El-Rufai, in a statement on Facebook, appealed to the city's residents to "do their best to uphold the peace". "It is with immediate effect", he said.
The clashes followed violence that broke out on Thursday between Muslim and Christian communities in the Kasuwan Magani area of southern Kaduna which left at least 55 people dead.
Residents were only seen within their residential areas and neighborhoods.
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Hundreds of people have been killed this year in outbreaks of communal violence across Nigeria.
Two people were said to have been killed in the initial market row, but the violence then dramatically escalated.
"However, around 3 pm we heard gun shots around the market area with people running in all directions, houses were being burnt and everyone was running for his life".
Ya'u said: "Most traders quickly close their shops to prevent hoodlums from taking advantage of the situation to steal our goods".
"In the pandemonium, a vehicle ran over my brother, a fruit seller at Lagos street".
Residents are advised to comply by this directive.
The streets were empty as motorists and commercial vehicles deserted all major roads within the city.