The descendants of Kuru were called Kauravas.

Antecedents: Vishnu – Brahma- Atri – Chandra – Budha – Pururavas – Ayus – Nahusha – Yayati – Puru – Janamejaya – Prachinvan – Praveera – Namasyu – Veetabhaya – Shundu – Bahuvidha – Samyati – Rahovadi – Bhadrashwa – Matinara – Santurodha – Dushyanta – Bharata – Suhotra – Suhota – Gala – Garga – Suketu – Brihalkshetra – Hasti – Ajameedha – Riksha – Samvarana – Kuru. From Kuru – Jahnu – Suratha – Viduratha – Sarvabhauma – Jayatsena – Ravyaya – Bhavuka – Chakrodhata – Devatithi – Riksha – Bharata – Praticha – Shantanu.

Shantanu had two wives – Ganga and Satyavati. To Ganga was born Bhishma and before her marriage Satyavati had a son with Parashara named Vyasa. With Shantanu she had Chitrangada and Vichitravirya. Chitrangada was killed by a gandharva. Bhishma brought Amba. Ambika and Ambalika as Vichitravirya’s wives. Bhishma sent Amba back when he learnt that she was in love with the king of Salva. Ambika and Ambalika remained as Vichitravirya’s wives, but he died soon. Satyavati brogught Vyasa to continue the royal line, and asked him to produce sons with Ambika and Ambalika. Ambika closed her eyes during the act, repulsed by Vyasa’s face, and thus her son was born blind. This was Dhritarashtra. Ambalika blanched on seeing Vyasa and a pale looking son was born to her, Pandu. To Dhritarashtra was born Duryodhana and his brothers and to Pandu, the Pandavas. All those born in Kuru’s dynasty were called Kauravas. But Dhritarashtra’s sons came to be specifically called Kauravas over time.

Dhritarashtra married Gandhari, daughter of the Gandhara king Subala. Once Vyasa reached their palace tired and hungry. Gandhari served him well and Vyasa asked her to seek a boon. She asked for a hundred sons with Dhritarashtra. She became pregnant but didn’t give birth even after two years had passed. When she learned that Pandu’s wife Kunti had given birth, she was agitated. She broken open her womb and a ball of flesh came out. Vyasa came to know of it, reached there, and asked her to cut it up into a hundred and one pieces and store them secretly in ghee pots. Vyasa went off to the Himalayas. After some time, the pots broke and 100 boys and one girl were born. In addition, Dhritarashtra also had a son with a vaishya woman, named Yuyutsu. The Kauravas, thus, were Duryodhana, Dushasana, Dussaha, Dushala, Jalagandha, Sama, Saha, Vinda, Anuvinda, Durdharsha, Subahu, Dushpradharshana, Durmarshana, Durmukha, Dushkarna, Karna, Vikarna, Shala, Satva, Sulochana, Chitra, Upachitra, Chitraksha, Charuchitra, Sharasana, Durmada, Durvigaha, Vivilsu, Vikatinanda, Urnanabha, Sunabha, Nanda, Upananda, Chitrabana, Chitravarma, Suvarma, Durvimocha, Ayobahu, Mahabahu, Chitranga, Chitrakundala, Bhimavega, Bhimabala, Valaki, Balavardhana, Ugrayudha, Sushena, Kundadhara, Mahodara, Chitrayudha, Nishangi, Pashi, Vrindaraka, Driddhavarma, Driddhakshetra, Somakeerthi, Anudara, Drinasandha, Jarasandha, Satyasandha, Sadasuvak, Ugrashravas, Ugrasena, Senani, Dushparajaya, Aparajita, Kundashayi, Nishalaksha, Duradhara, Dridahasta, Suhasta, Vatatega, Suvarcha, Adityaketu, Bahvashi, Nagadatta, Ugrashayi, Kavachi, Kradhana, Kundi, Bhimavikra, Dhanurdhara, Veerabahu, Alolupa, Abhaya, Driddhakarma, Drinarathashraya, Anadhrishya, Kundabhedi, Viravi, Chitrakundala, Pradhama, Apramadhi, Deerkharoma, Suviryavan, Deerkhabahu, Suvarma, Kanchanadhwaja, Kundashi, Veerajas, Yuyutsu, Dusshala as per Mahabharata Adiparva Chapters 67, 117.