The Hole singer spoke about Cobain's 1994 suicide in a new interview.
Speaking to Spin, Love said: "I married a guy, he killed himself, I inherited everything. That's the way it goes."
Love, who is currently involved in a custody battle for her 17-year-old daughter Frances Bean, also revealed that she is furious with temporary co-guardians Wendy O'Connor and sister Kimberly Dawn Cobain.
The 45-year-old added: "Those snarly-ass O'Connors want cheques. I'm through supporting their asses."
Love recently revealed that her daughter gave her strength following Cobain's death.