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When I reflected on his crimes and malice, my hatred and revenge burst all bounds of moderation. I would have made a pilgrimage to the highest peak of the Andes, could I when there have precipitated him to their base. I wished to see him again, that I might wreak the utmost extent of abhorrence on his head and avenge the deaths of William and Justine. Our house was the house of mourning. My father's health was deeply shaken by the horror of the recent events. Elizabeth was sad and desponding; she no longer took delight in her ordinary occupations; all pleasure seemed to her sacrilege toward the dead; eternal woe and tears she then thought was the just tribute she should pay to innocence so blasted and destroyed. She was no longer that happy creature who in earlier youth wandered with me on the banks of the lake and talked with ecstasy of our future prospects. The first of those sorrows which are sent to wean us from the earth had visited her, and its dimming influence quenched her dearest smiles. (9. 6)
Driven by his inability to forget the past and the deaths he partly caused, Victor seeks revenge on the monster to alleviate his guilty conscience.
I, not in deed, but in effect, was the true murderer. Elizabeth read my anguish in my countenance, and kindly taking my hand, said, "My dearest friend, you must calm yourself. These events have affected me, God knows how deeply; but I am not so wretched as you are. There is an expression of despair, and sometimes of revenge, in your countenance that makes me tremble. Dear Victor, banish these dark passions. Remember the friends around you, who centre all their hopes in you. Have we lost the power of rendering you happy? Ah! While we love, while we are true to each other, here in this land of peace and beauty, your native country, we may reap every tranquil blessing--what can disturb our peace?" (9.8)
Victor’s guilt due to the deaths of William and Justine causes him to seek revenge against the monster.
"Cursed, cursed creator! Why did I live? Why, in that instant, did I not extinguish the spark of existence which you had so wantonly bestowed? I know not; despair had not yet taken possession of me; my feelings were those of rage and revenge. I could with pleasure have destroyed the cottage and its inhabitants and have glutted myself with their shrieks and misery. (16.1).
The monster wants to seek revenge on all people for alienating him. His resentment is against humanity as a whole.