During the height of the Spanish Empire, particularly in the 16th and 17th centuries, several key military strategists and leaders played significant roles in shaping Spain's military successes and strategies. Here are some of the most notable figures:

1. Hernán Cortés (1485-1547): Cortés is best known for his conquest of the Aztec Empire in present-day Mexico. His strategic use of alliances with indigenous tribes and his ability to adapt to the challenges posed by the Aztecs were crucial to his success.

2. Francisco Pizarro (1471-1541): Pizarro led the expedition that conquered the Inca Empire in Peru. His military strategies included the use of surprise attacks and exploiting divisions within the Inca leadership.

3. Don Juan de Austria (1547-1578): A half-brother of King Philip II, Don Juan was a prominent military leader during the Battle of Lepanto in 1571, where the Holy League defeated the Ottoman fleet. His leadership and naval strategies were pivotal in this significant victory.

4. Alonso de Córdova (c. 1500-1570): A Spanish general known for his role in the conquest of the Philippines and his military campaigns in the Mediterranean, Córdova was instrumental in expanding Spanish influence in Asia.

5. Miguel de Cervantes (1547-1616): While primarily known as a writer, Cervantes served as a soldier and was involved in naval battles against the Ottomans. His experiences influenced his literary works, which often reflected military themes.

6. Álvaro de Bazán (1526-1588): As a prominent naval commander, Bazán played a crucial role in the Spanish Armada and was known for his strategic innovations in naval warfare.

7. Gonzalo Fernández de Córdoba (1453-1525): Known as "El Gran Capitán," he was a key figure in the Italian Wars and is credited with modernizing Spanish military tactics, particularly in the use of infantry.

These strategists and leaders contributed to the military prowess of the Spanish Empire, which at its height controlled vast territories across Europe, the Americas, and Asia. Their strategies often involved a combination of military innovation, diplomacy, and the exploitation of local rivalries.