Klingon society is extremely complex. Before its decline in the mid 22nd century and again in late 23rd century Klingon society was based on a feudal system organized around traditional Great Houses of noble lineage, to which various parts of the population owed fealty. The Great Houses are traditionally represented in the Klingon High Council, which is led by a Chancellor.
The decline of Klingon culture is demonstrated in the acts of the Klingons themselves. They stopped caring about their weapons to the point that they let them rust (ENT: "Marauders") and even stopped caring for true honor (ENT: "Judgment"). Sometime after the augment virus took hold of the Klingon Empire a new regime took control turning the Empire into a fascist state that kept tabs on all who served. (TOS: "Errand of Mercy"). The old ways returned in the latter 23rd and early 24th centuries respectively.
Males traditionally dominated public life in the Empire, assuming the leading roles in politics and the military with only rare exceptions. (TNG: "Redemption") A notable exception to the prohibition of women serving on the High Council came when Azetbur became Chancellor of the High Council after her father, Gorkon, was assassinated in 2293. (Star Trek VI: The Undiscovered Country) Women, in turn, traditionally dominated the household and the management of the family's affairs. (DS9: "You Are Cordially Invited") Klingon women were treated as equals except in politics and matters of inheritance. They were prohibited by law from serving in the High Council and cannot take control of their Houses unless they have the money and no male successors of the lineage. Otherwise, Klingon women were expected to exhibit the same physical prowess and lust for blood and honor as the men.
Klingon society functioned through a system of family reputation and honor. Tradition was an integral part of their lives and breaking from observances was considered a grievous insult to society, an insult that is not forgotten easily. An offense usually brought shame to the offender's name for several generations. The highest shame was discommendation, an action by the High Council to officially strip a Klingon of his personal or family honor. Bloodlines and relations were also taken very seriously by any "true" Klingon. Lines comprise more than mere family members. (TNG: "New Ground")
An integral part of tradition was the various rituals that mark milestones in a Klingon's life or the history of the Empire. Most notable of the rites was the Rite of Succession, which a future leader of the Empire must complete with a valid Arbiter of Succession (Captain Jean-Luc Picard in the case of Gowron) overseeing the proceedings. Before the Rite can begin, there was another elaborate ceremony needed to confirm the death of the previous leader. This was known as the Sonchi ceremony. (TNG: "Reunion") Individual Klingon warriors were expected to go through the Rite of Ascension to be recognized as a full adult. (TNG: "The Icarus Factor") If the house that an individual Klingon belongs to is dissolved or falls into dishonor, he can be adopted into another house through the R'uustai or alternative ceremonies that symbolically mark the joining of kinship and allegiance. (TNG: "The Bonding", DS9: "Sons of Mogh", DS9: "Soldiers of the Empire", DS9: "Sons and Daughters")
Klingons were extremely territorial. According to the first known Klingon linguist, there was no such thing as an "insignificant corner of Klingon space". (ENT: "Bounty")