Twenty-three-year-old Paul Anthony Ciancia also discussed weaknesses in airport security in the "suicide" note before Friday's attack, according to Michael McCaul, the Republican congressman from Texas who chairs the committee. Ciancia is accused of fatally shooting a Transportation Security Administration (TSA) officer, the first employee from the agency to die in the line of duty since it was created 12 years ago.
Airport police shot and wounded the gunman to end the rampage.
"It's clearly one of those notes that reads, 'I'm going to kill people and I don't want to kill civilians,' with the idea that he's going to die at the end of this," said McCaul, who said he had read the note.
He added that the note "talks a lot about killing TSA agents, and he said, 'If I just kill one, my mission is accomplished.'"
In a criminal complaint filed on Saturday, investigators said they found a handwritten letter signed by Mr Ciancia in his bag that addressed TSA officials, writing that he wanted to "instill fear in [their] traitorous minds."
Authorities charge that Mr Ciancia walked into the airport's Terminal 3 on Friday morning, took an assault rifle from his bag and opened fire, shooting dead Gerardo Hernandez, a 39-year-old TSA officer at a document checkpoint.
Authorities say he then went on to shoot and wound two other TSA employees and a passenger, prompting a panicked evacuation of the world's sixth-busiest airport.