The command in a statement signed by Mr Sunday Abutu, its Public Relations Officer said the restriction was to ensure an hitch-free election.
Abutu said that the restriction was for vehicular and pedestrian movement in and out of the local government area, except those on essential duties.
According to him, the command appeals to motorists to take alternative routes.
Abutu, while assuring of adequate security of lives and property said the command had deployed adequate personnel to the area to forestall any breakdown of law and order and to ensure a free, fair and credible election.
Abutu appealed to political supporters and party leaders to conduct themselves in accordance with the electoral guidelines.
The News Agency of Nigeria (NAN) reports that the Independent National Electoral Commission (INEC) had fixed the Ekiti-East Constituency I bye-election for March 20.
The seat became vacant following the death of the member, representing the constituency, Mr Adegbuyi Oluwajuwa. (NAN)