The tie at Halifax's Shay Stadium will kick off at 12noon.
The match will also be broadcast live on BT Sports. The FC Halifax match will be City's first ever to be shown live on the satellite channel.
City will receive £67,750 from The F.A following the decision to televise the first round tie.
Ticket details for this tie will be confirmed shortly. The club's official website will inform supporters of the full ticket details once they have been finalised.