The amendment was moved by Congressman Dana Rohrabacher, who alleged Islamabad had undermined efforts to combat terrorism.
The amendment was defeated in a voice vote yesterday.
"The policy which has us funding Pakistan's military is wrong, and the fact that we can't even debate a precise dollar figure is absurd. It is insane for us to continue borrowing large sums of money from China to give to Pakistan," Rohrabacher said.
He said it was a farce to believe that the US aid, sometimes deceptively labelled as 'reimbursements', was buying Pakistan's cooperation in hunting down terrorists.
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Claiming that the abysmal human rights record of the Pakistani government is shameful, Rohrabacher said it was even worse because American money contributed to strengthening the security forces that kill and persecute minority groups who are denied their right to self-determination.
"This is especially true for the Baloch and Sindhi, two large ethnic minority groups in Pakistan. Our money equips the Pakistan military, which brutally oppresses the aspirations of both of these people, both of which have a long history separate from Pakistan," he said.