The move comes after the US failed to issue a visa to the senate's deputy chairman, a member of the right-wing Jamiat Ulema-e-Islam political party, AP reported.
Chairman Raza Rabbani said in a statement that no Pakistani senate delegation will visit the US until an explanation for the delay in issuing a visa to Maulana Ghafoor Haideri is given by US authorities.
A US embassy spokesman in Islamabad said Sunday they could not comment on visa cases due to privacy laws.
Haideri was to travel Sunday to New York to attend a meeting at the United Nations.
Jamiat Ulema-e-Islam chief Maulana Fazlur Rehman is known for pro-Taliban and anti-US stances.