A NSW man accused of breaking into a house and attacking his mother and sister after allegedly being taunted about being sexually abused has been granted bail.

Family members of garbage truck driver Aaron Sykes, 31, hugged and cried in the NSW Supreme Court on Monday after he successfully fought to be released on strict conditional bail.

Sykes is accused of repeatedly punching his mother and sister in the face before stunning his sister with a Taser after breaking into a Koonawarra home, near Wollongong, in October last year.

His sister was left with a broken nose, while his mother suffered bruising and swelling to her face.

Police say he also smashed his sister's phone with a meat cleaver before fleeing the house.