is a district of Japan located in western Kanagawa Prefecture, Japan. Most sparsely populated mountainous districts are part of the Fuji-Hakone-Izu National Park. The majority area of the city of Odawara was formerly part of Ashigarashimo District.
As of 2009, the district had an estimated population of 48,713 and a density of 346 persons per km<sup>2</sup>. The total area was 140.73 km<sup>2</sup>.
Ashigarashimo District was one of the ancient subdivisions of Sagami Province, per the Nara period Ritsuryà  system, under the name . The area was under the control of the later Hà Âjà  clan in the Sengoku period, and part of Odawara Domain during the Edo period. Following disasters caused by eruptions of nearby Mount Fuji, a portion also came to be held as tenryà  territory administered by the Tokugawa shogunate.
After the Meiji Restoration, it initially formed part of the short-lived Ashigara Prefecture before it was established as a district of Kanagawa Prefecture under the cadastral reform of 1878. In 1889, it was administratively divided into two towns (Odawara and Hakone) and 30 villages. On December 20, 1940, Odawara was elevated to city status. Local voters rejected a planned merger of Yugawara into Odawara in 2005 in an August 8, 2004 referendum.