What was hernan Cortes's kid's names?

Answer 1

This list is from Wikipedia's article on Hernan Cortes.

• doña Catalina Pizarro, born between 1514 and 1515 in Santiago de Cuba or maybe later in Nueva España, daughter of doña Leonor Pizarro, perhaps relative of Cortés.
• don Martín Cortés, born in Coyoacán in 1522, son of doña Marina (La Malinche), called the First Mestizo; about him was written The New World of Martín Cortés; married doña Bernaldina de Porras and had two children:
  • doña Ana Cortés
  • don Fernando Cortés, Principal Judge of Veracruz. Descendants of this line are alive today in Mexico.
• don Luis Cortés, born in 1525, son of doñaAntonia or Elvira Hermosillo.
• doña Leonor Cortés Moctezuma, born in 1527 or 1528 in Ciudad de Mexico, daughter of Aztec princess Tecuichpotzin (baptized Isabel), born in Tenochtitlan on July 11, 1510 and died on July 9, 1550, the eldest legitimate daughter of Moctezuma II Xocoyotzin and wife doña María Miahuaxuchitl; married to Juan de Tolosa, a miner.
• doña María Cortés de Moctezuma, daughter of an Aztec princess; nothing more is known about her except that she probably was born with some deformity.

He married twice: firstly in Cuba to Catalina Juárez Marcaida, who died at Coyoacán in 1522 without issue, and secondly in 1529 to doña Juana Ramírez de Arellano de Zúñiga, daughter of don Carlos Ramírez de Arellano, 2nd Count of Aguilar and wife the Countess doña Juana de Zúñiga, and had:

• don Luis Cortés y Ramírez de Arellano, born in Texcoco in 1530 and died shortly after his birth.
• doña Catalina Cortés de Zúñiga, born in Cuernavaca in 1531 and died shortly after her birth.
• don Martín Cortés y Ramírez de Arellano, 2nd Marquis of the Valley of Oaxaca, born in Cuernavaca in 1532, married at Nalda on February 24, 1548 his twice cousin once removed doña Ana Ramírez de Arellano y Ramírez de Arellano and had issue, currently extinct in male line
• doña María Cortés de Zúñiga, born in Cuernavaca between 1533 and 1536, married to don Luis de Quiñones y Pimentel, 5th Count of Luna
• doña Catalina Cortés de Zúñiga, born in Cuernavaca between 1533 and 1536, died unmarried in Sevilla after the funeral of her father
• doña Juana Cortés de Zúñiga, born in Cuernavaca between 1533 and 1536, married Don Fernando Enríquez de Ribera y Portocarrero, 2nd Duke of Alcalá de los Gazules, 3rd Marquess of Tarifa and 6th Count of Los Molares, and had issue

Answer 2

He had two:

Martin Cortes (1523?-1595) first but illegitimate son between Cortes and the Malintzin (Malinalli Tenepatl).

Martin Cortes Zuñiga (1533-1589) only and legitimate son between Cortes and Juana de Zuñiga.