The gofundme page, which has been set up by friend Tanya White, aims to raise $20,000 which will help fund legal fees to fight for custody of the children in Lebanon.
In her appeal, the distraught mother reveals how she's at breaking point after her ex husband took the children, now three and six to Lebanon for a holiday, and refused to bring them home.
"I'm frightened for their safety - I haven't seen or spoken to them in over six months (since the day that I had to hand them back to their father in Lebanon)," the page reads.
"Lahela just turned 6 and Noah will soon be 4 - pulled from our life in Brisbane and dumped into a dangerous, war-torn country in the Middle East."
Faulkner, also mother to son Eli, one, with partner Brendan Pierce, takes aim at the Australian government which she said has done nothing to help her.
She also said she is concerned for her children's wellbeing and is desperate to see them again.
"Ali leaves the children now full time with his mother who is about seventy and who doesn't speak much English as he goes to work in Beirut two and a half hours away from where the children stay," she writes.
"Lahela and Noah don't speak Arabic either so communication between their carer now is limited."
In the appeal, which Faulkner shared on her own Facebook page, the post explains the huge cost, both financially and emotionally, that she has faced.
"The cost of legal fees to help bring Lahela and Noah home is more than anyone could imagine," it reads. "So much so that Sally is having to sell her car! What any mother in the same situation would do I'm sure."
Faulkner, who regularly posts updates about her battle to regain her children, also reveals the fight to regain the kids is hurting her in other ways.
In a New Year's Day post she writes: "Ali if you have read this please know. I will no longer call and email because it's been two years now and you haven't given me or our children the respect to answer. I'm taking that power trip away from you this year and showing you your actions are wrong in other ways."