The workers will have until 05 July to cast their votes.
If they vote to take industrial action it could lead to the first strike of its kind for over 20 years.
Imagine if they vote to strike. Households and small businesses could be without telephone and internet if problems occur because their might not be engineers to fix them.
The competitors of BT see this as an opportunity. One commentator has already described the fact that BT might let the strike happen as "commercial suicide" because competitors might be given a window of opportunity.
One competitor already positioning itself to target BT's SME customers is Cloud Net.
David Hill Chairman of Cloud Net, a Voice Over Internet Protocol (VoIP) phone company, says, "We're urging consumers and small businesses that rely on their phones to consider their options before a strike goes ahead."