Steven Tyler -- Family Members Furious Over Singer's Engagement

Steven Tyler's big engagement news did NOT go over so well with several members of his family ... who are telling friends they simply don't like his new fiancee ... TMZ has learned.

Sources connected to the Tyler clan tell us ... several family members have clashed with Erin Brady for years ... and have told friends, "She's just not nice."

One source tells us, "She's just been mean to the family."

And to make matters worse -- we're told several family members have griped that they had no idea about Steven's proposal plan until AFTER he popped the question to 38-year-old Brady this weekend ... and they felt slighted by the omission.

Sources tell us ... the family members were hoping they could eventually repair the relationship with Erin, but now, they feel Steven has only widened the divide.

Multiple calls to Steven's rep have not been returned.