The first primary motive Hamlet has to seek revenge is to avenge his father’s death. Hamlet is determined that Hamlet is the murderer. It disgusts him to see the murderer of his father become a successful ruler. All the people of the country quickly forgot about his dead father and easily adjust to Claudius’ ruling.

II.A1.a
“It is not very strange. For my uncle is King of Denmark, and those would make mouths at him while my father lived given, forty fifty, a hundred ducats apiece of his picture in little (114).”

Hamlet is outraged at the people of Denmark’s reaction to his beloved father; as a result he deeply wants to seek revenge as Claudius o avenge his father’s death.

II.A1.c
“It is clear that Hamlet’s conduct, the violent reaction, natural to his situation is connected with fundamental instincts of jealously (9)

His jealously of the people’s love for Claudius increases his intent to strike revenge.

II.A1.a
“So, Uncle there you are. Now to my word (66).”

Hamlet’s immense anger with Claudius success and the people’s love for his father’s murder gives Hamlet a significant motive for revenge.
In addition to Hamlet’s anger of Claudius’ popularity, Hamlet is also angered by Claudius’s legitimate evil nature. Hamlet wants to seek revenge on Claudius because he feels Claudius is without a doubt a murderer and the possessor of evil.

II.A2.a
“Does it not, think the/ stand me now upon… he that whored my mother…is thou’t perfect conscience/ to quit him with this arm? / And is’t not to be damned. / In further evil (304).”

Hamlet is forced to believe Claudius is a man of evil and filled with disastrous ideas. As a result, Hamlet wants to kill Claudius to avenge his father’s death.

II.A2.c
“The Ghost and Hamlet believe Claudius is the source of this poison (17).”

Therefore thanks to the ghost’s revelation that Claudius is the murderer, Hamlet believe he needs to avenge his father’s death.