The closure will be effective from 6.00 pm on Thursday, April 2.
According to the state government, the directive which was given on Wednesday follows the rise in the number of persons infected by the virus.
In a statement issued by the Commissioner for Information, Donald Ojogo, the decision was taken after observing the possibility of the disease spreading into the state.
The closure of the border means no vehicles will be allowed into the state from any of the neighboring states.
Ojogo explained that a monitoring team, including security operatives has been set up and mobilized to ensure that the directive is followed to the letter.