And the conservatives also objected to their leadership's decision to strip an anti-abortion provision from the legislation.
The financing bill was adopted without the anti-abortion provisions that have been added to similar legislation in the past.
The Senate's foreign aid bill, passed last month, does not include the anti-abortion provisions.
Congress nearly approved the same package in the fall, but the deal fell apart over the same anti-abortion provision.
The legislation includes an anti-abortion provision that the President so opposes, he is threatening to veto the entire bill because of it.
The anti-abortion provision bars federal financing for international groups that lobby foreign governments to change their abortion policies.
The Senate has already approved its version of the foreign aid bill, which does not include the anti-abortion provisions.
But it came undone because of the anti-abortion provision.
The bill now goes to the House, where Republicans are threatening to add anti-abortion provisions, as they have in the past.
And the accord includes an anti-abortion provision that will allow medical schools to receive Federal accreditation if they do not teach abortion procedures.