A person's interest in an LLC can be inherited the way any other property would be. If your husband was the sole owner of the LLC, then as his surviving spouse:1) If there is a will, you will inherit the LLC if the will leaves it to you; otherwise, it goes to whomever he willed it to.2) If there was no will, the LLC passes by "intestate succession" (the rules for who gets what when there is no will). If there are no surviving children of your husband, you will be the only person to inherit the LLC: if there are surviving children, you get a 1/2 interest in the LLC, his children share the other 1/2.