I rec'd a check payable to my father who is deceased. But my name is on the check as the mailing address It say Estate of my name. How can I deposit

To a certain extent, it depends what the check was for.  If it is a check which was properly payable to your father only, then it is the property of his estate.  That means you need to open up a probate with the court to determine how those funds will be allocated.  I recommend sitting down with an attorney to go over the specifics and advise you. Best of luck.