Final answer:
The capital of the Inca Empire captured and occupied by Spain in 1533 was Cuzco. Spanish conquistador Francisco Pizarro conquered Cuzco following the execution of the Inca leader Atahualpa. The correct option is D.
Step-by-step explanation:
The capital of the Inca that was captured and occupied by Spain in 1533 was Cuzco. Following the civil conflict caused by the death of Emperor Wayna Qhapaq in 1528, Francisco Pizarro exploited the situation and conquered the already weakened Inca Empire.
Pizarro captured Atahualpa, the Inca leader, in 1532 and executed him the following year, leading to the occupation of Cuzco, which became a Spanish colony.
Despite the subsequent resistance such as the siege led by Manco Inca in 1536, Inca's military strategies could not overcome the Spanish firearms, and the once flourishing capital Cuzco firmly came under Spanish control.
Hence, Option D is correct.