A scepter was a staff carried by a monarch.
The Ferengi Grand Nagus carried a distinctive scepter that symbolized his authority. It was customary for his subjects to kiss the head of the scepter as a gesture of respect. (DS9: "The Nagus")
In 2381, Andarithio Billups was given a Hysperian scepter topped with a crystalline orb when his mother, Queen Paolana, was believed dead. (LD: "Where Pleasant Fountains Lie")