The studied materials allow us to conclude that during the expedition of the Russian fleet to Gdansk in 1734, the pupil of the Emperor Peter the Great in Maritime Affairs, Vice Admiral N. A. Senyavin and other followers of the Creator of the Russian fleet were in the background. The main role in the command of the fleet was played by Admiral T. Gordon, a Scot who proved to be a very ordinary commander. The French squadron that arrived at Gdansk, as a result of T. Gordon’s slowness, was able to evade the battle and go to Copenhagen. Nevertheless, the Russian fleet blocked Gdansk from the sea, forced the French landing force (2,100 men) to surrender, delivered heavy artillery for the siege of Gdansk, and made its rapid capitulation inevitable. Сapitulation of Gdansk was a decisive event for the victory of Russia in the war of the Polish succession (1733-1735). Polish king Stanislaw Leszczynski was forced to flee Gdansk on the eve of its surrender to France. Russia in 1734, despite all the shortcomings of the fleet, confirmed that it is still the strongest power in the Baltic.