The government says New Brunswick's MQM Quality Manufacturing Ltd. submitted a winning bid of more than $13 million.
Construction is expected to begin in early July and will last about three years.
Transportation and Infrastructure Minister Claude Williams says the bridge is 45-years-old and requires maintenance to bring it to current standards.
He says the work will involve structural steel repairs and painting.
The province says those who use the bridge should expect closures over the next several months.