Helicobacter pylori strains are indigenous to each human host and infect and colonize in the stomach of the host, and they are also known to be involved in diseases of the upper gastrointestinal tracts, among others. The present invention provides an economical method for inhibiting the proliferation and migration of Helicobacter pylori strains without being concerned about emergence of resistant bacteria or side effects due to drugs traditionally used to remove Helicobacter pylori strains, as well as a beverage or food utilizing such method, by selecting from among mineral-rich waters obtained from deep sea water, and by ingesting, a water or waters capable of inhibiting the proliferation and migration of Helicobacter pylori strains that are indigenous to the host and infecting and colonized in the stomach of the host.