The father of Priam was Laomedon.

His daughters :

Antigone

Hesione

Cilla

Proclia

Aethilla

Clytodora

Astyoche

His sons:

Tithonus

Bucolion

Thymoetes

Lampus

Hicetaon

Clytius

Medesicaste

Ganymede (sometimes his son, sometimes his uncle)

Podarces, afterwards called Priam*

(Note that all the brothers of Priam were killed by Heracles becasue Laomedon planned on sacrificing his daughter Hesione to Poseidon in the hope of appeasing him. Poseidon and Apollo had built the walls of Troy for wages and not been paid them; Apollo sent sickness and Poseidon a sea monster.

Heracles (along with Oicles and Telamon) rescued her at the last minute and killed the monster. Laomedon had promised them the magic horses as a reward for their deeds, but when he broke his word, Heracles and his allies took vengeance by putting Troy to siege, killing Laomedon and all his sons save Podarces, who saved his own life by giving Heracles a golden veil Hesione had made (and therefore was afterwards called Priam, from priamai 'to buy'). Telamon took Hesione as a war prize and married her; they had a son called Teucer.)