The informal online poll was carried out over the past week, with 143 members (9 per cent) out of a total membership of 1563 responding. Of these, 75 voted to remain and 68 to leave.
BALI's registered designers voted by a 2:1 majority in favour of staying in Europe whereas 57 per cent of the 65 registered contractors that responded voted to leave. The association's affiliate members (suppliers of products and services) favour remaining, again by a majority of almost 2:1, and all other membership groups, including students, voted to remain.
The association's chief executive Wayne Grills said: "The overall outcome of this poll seems to largely reflect other recent polls carried out amongst the general public and indicates that the outcome is really too close to call at this time.
"It is interesting to see that BALI contractors, by far our largest membership group, apparently consider that exiting the EU will be better for their businesses whereas our affiliate members, who supply products and services, are of the opposite opinion. And it will undoubtedly be a similar scenario in homes across the country with opinions split."
BALI will repeat the poll in a month's time to see if opinions have been swayed by campaigning by the Remain and Leave camps.