I am executor of my father's estate In got check in my name from a Claim paid to him can I cash it

The check should be to you as executor and be deposited in the bank account which you opened for your father's estate.  Please discuss this with your probate attorney.  If you do not have one, hire one.  A Will is of no legal effect until a court admits it to probate (proving).  You may be named as executor in the Will but until a court appoints you, you ain't.