Within the city limits there are two smaller lakes: Kahalnaye (Кагальнае) and Grand (Вялікае) from which the Birchwood river originates (Бярозаўка, Brzozówka in Polish).

In 1514, Hlybokaye was included in the documents of the Grand Duchy of Lithuania as consisting of a manor house and a property owned by Zianowicz family.

[4] During Polish-Soviet War of independence, Hlybokaye was taken over by the Polish Army in December 1919, but in July 1920 found itself in the hands of the Bolsheviks as a result of the offensive by Mikhail Tukhachevsky.

The incorporation of Hlybokaye into the Second Polish Republic was officially confirmed by the 1921 Treaty of Riga signed between Poland and the Soviet Union.

Shortly thereafter the Germans enacted a number of anti-Jewish laws, including a mandate to seize personal property, and established a Judenrat.

An uprising broke out, organized by Jewish anti-Nazi insurgents, which was suppressed by German artillery and air support, including the use of incendiaries that set the town on fire and led to many casualties.

[4] At the local Catholic cemetery, are graves of both parents of the famous Polish writer Tadeusz Dołęga-Mostowicz, his father Stefan and mother Stanisława née Popowicz.

In July 2009, in the Orthodox Nativity of the Blessed Virgin Mary the council during a work order found the remains faithful to the Poles.