Veterans Day is observed annually on November 11th. Therefore, the month associated with the holiday is November. Grammatically, the term "Veterans Day month" is a noun phrase, where the proper noun "Veterans Day" functions as an adjectival modifier for the noun "month." The primary point is the identification of November as this specific period of observance.
The date, November 11th, holds historical significance as the anniversary of the armistice that ended World War I in 1918. The cessation of hostilities occurred at the 11th hour of the 11th day of the 11th month. Initially known as Armistice Day, the U.S. holiday was officially renamed Veterans Day in 1954 to honor American veterans of all wars. Unlike Memorial Day, which specifically honors service members who died in military service, Veterans Day is a tribute to all individuals who have served in the U.S. Armed Forces, both living and deceased.
While the official holiday is a single day, the entire month of November is widely recognized for its connection to military appreciation. For instance, November is also designated as Military Family Month in the United States. This broader context reinforces November's identity as the month dedicated to honoring the contributions and sacrifices of military veterans and their families, with November 11th serving as the central day of observance.