The key military tactic the Americans employed to defeat Burgoyne was Siege warfare.

To defeat British General Burgoyne at the Battle of Saratoga, the Americans effectively employed siege warfare. By surrounding Burgoyne's forces, they cut off vital supply lines and reinforcements, isolating them in a strategically advantageous position. This approach not only weakened the British troops but also forced them into a defensive posture. The American forces, under Generals Horatio Gates and Benedict Arnold, maintained pressure through continuous engagements, ultimately leading to Burgoyne's surrender on October 17, 1777. This successful application of siege tactics not only secured a pivotal victory for the Americans but also significantly altered the course of the Revolutionary War.