Honoring Our Fallen Soldiers and Families Act of 2005 - Increases from $12,000 to $100,000 the death gratuity payable to the survivors of members of the Armed Forces who die: (1) while on active duty or inactive duty training; or (2) within 120 days after discharge or release from such duty or training, if the death resulted from an injury or disease incurred or aggravated during such duty or training.