"Republic Day greetings to the people of Iraq," he tweeted.
"We value our ties with Iraq & I am sure our ties will become stronger in the coming years," Modi added.
Yesterday, President Pranab Mukherjee said India strongly supports Iraq's territorial integrity and its government's efforts to "overcome the current crisis", apparently referring to the war that the country is engaged in against ISIS terror group.
In a message to his counterpart Fuad Masum on the eve of National Day of Iraq, Mukherjee had said India deeply values its close and friendly relations with that country, which are rooted in ancient trade and cultural links and people-to-people contacts.