If your husband does not leave a Will, the rules of intestate succession determine inheritance.  Intestate means dying without a Will.  Under intestate succession, as the surviving spouse, you would inherit your husband's entire estate including the house.If your husband leaves a Will and if the house was purchased before marriage, it is his separate property.  As separate property, he could leave it to anyone he designates as a beneficiary.If the house was purchased during marriage, it is community property and you would have a one half interest in the house.  Your husband cannot leave community property to anyone other than you by his Will.