Which king developed a hebrew state by building a capital city and developing a political bureaucracy? ?

A bureaucracy is a type of government where non-elected state officials make decisions.  In order to develop a unified Hebrew state with an effective government, there were actually two very important kings that should be mentioned.  

The simple answer to your question would be King David ([email protected] BCE).  King David is known for unifying the Hebrew states of Judah and Israel and making the city of Jerusalem the political capital of his kingdom.  He organized and centralized the government by through creating a political bureaucracy of personal advisers and local magistrates.  Also, through arranged, strategic marriages, David cemented positive relationships with various national and political groups.  

In addition, Jerusalem was called the "City of David", and it also became the religious center when King David had the Ark of the Covenant brought to the city, which contained the Ten Commandments.  Internationally, King David was able to expand his kingdom to the east with his army of devoted soldiers.  Doing so allowed Israel to gain control over important trade routes, and brought enormous wealth to David's kingdom.  For all of these reasons, the rule of King David is considered a "golden age", as he reigned for a period of nearly 40 years.

King Solomon, David's son, followed in his father's footsteps for the next 40 years ([email protected] BC).  Overall, King Solomon inherited a prosperous and organized kingdom from his father.  However, as King David aged, his consolidation of power weakened somewhat.   Solomon rectified that with the establishment of his own bureaucracy.  King Solomon used influential men from the kingdom as advisers and also entered into political marriages to form alliances, similar to his father.  Known for his wisdom, King Solomon was a just and fair ruler who used his power to improve his kingdom.  One of his major accomplishments was improving the infrastructure in and around Jerusalem, which included building the Solomon's Temple to house the Ark of the Covenant.