When asked at a news conference if he would act on the Iraqi parliament's vote in favour of retaliation, Abadi said: "We will not do anything of the sort."
"We are studying (possible) decisions but we are in a battle and we don't want to harm the national interest," he added.
The United States provides critical air and ground support to Iraqi troops fighting the militants who overran a third of Iraq in 2014. More than 5,000 US troops are deployed in Iraq.
President Donald Trump on Friday temporarily banned entry to the US entry for people from seven predominantly Muslim countries - Iran, Iraq, Syria, Libya, Somalia, Sudan and Yemen.
,We are studying (possible) decisions but we are in a battle and we don't want to harm the national interest,, said Prime Minister Haider al-Abadi
Iraq will not retaliate to US President Donald Trump's travel ban against Iraqi nationals because it does not want to lose Washington's cooperation in the war on Islamic State, Prime Minister Haider al-Abadi said on Tuesday.