The 18-year-old Academy Graduate, who also impressed during a loan spell with Ilkeston in the Evo-Stick Northern Premier League earlier this season, joins Alan Devonshire’s side as they sit 15th in the conference table.
A versatile midfielder who is also capable of playing in defence, Smith has featured regularly for Steve Beaglehole’s Under-21 development side this term.
After a 2-0 win over FA Cup underdogs Luton Town last time out, Braintree travel to Gateshead on Saturday 2 March and City youngster Smith will be available for selection.