A MELBOURNE mechanic has hit a dead end in his long-running fight to save his beloved pet sheep.

It looks to be bye bye for Baa after the High Court on Friday knocked back Vu Ho's bid to appeal an order forcing him to remove the pet from his Springvale home.

Mr Ho sought leave to appeal the decision of Victoria's Court of Appeal, which upheld Greater Dandenong Council's order to remove his pet.

It is the last in a string of attempts Mr Ho has had at quashing the council's local that prohibits the keeping of livestock.

And now instead of a $220 fine issued for breaching the local law, Mr Ho now faces legal costs of more than $200,000 over the two-year fight to save his beloved pet.

Mr Ho, who came to Australia in 1981 as a Vietnamese refugee, has kept the sheep at his workshop for more than 16 years.

He bought the pet for just $60 and the pair have forged a bond so close, he considers her family.

Mr Ho who did not waiver during dozens of court appearances was at times forced to represent himself after a string of lawyers refused to handle his case.