Iraqi Prime Minister Nuri Maliki is due to meet with Emir Sheikh Sabah al-Ahmad al-Sabah and hold official talks with his counterpart Sheikh Nasser Mohammad al-Ahmad al-Sabah.
Ahead of the visit Kuwait's State Minister for Cabinet Affairs Rudhan al-Rudhan said talks will discuss ways of boosting "economic and trade ties and other issues of concern between the two countries."
The visit is Maliki's first to Kuwait after his re-election to the post and after a Kuwaiti premier ground-breaking trip to Baghdad in January, the first by a Kuwaiti premier since the Iraqi troops invaded the emirate in 1990.
The two Arab nations still have a number of outstanding issues related to the Iraqi occupation to resolve including multi-billion-dollar war reparations, debt and demarcation of land and maritime borders.
Iraq still owes Kuwait more than $20 billion in compensation for Saddam Hussein's invasion of the emirate and Baghdad has repeatedly called for a solution to this issue.
Kuwait has also demanded the return of its stolen property and remains of hundreds of citizens who went missing during the Iraqi occupation.