The visit comes two weeks after Ukrainian President Volodymyr Zelensky invited Mr Martin to visit Ukraine, which would be the first visit by a Taoiseach to the eastern European country.
It also comes after Russian President Vladimir Putin on Monday declared victory in seizing the eastern Ukrainian province of Luhansk, with his troops escalating their offensive in neighbouring Donetsk.
Mr Martin has warned previously that the Russian president appeared to be leveraging its natural gas supplies to exert maximum pressure on Europe ahead of the winter period.
Mr Martin has also been a vocal advocate for Ukraine’s fast-tracked membership of the EU.
“Ireland is ready to walk every step of that journey with Ukraine, providing whatever support and encouragement we can along the way,” the Taoiseach has previously said.
Mr Zelensky has thanked Ireland for its “active support of Ukraine’s European aspirations”.
Ireland has also taken in more than 36,000 Ukrainian refugees since Russia invaded neighbouring Ukraine at the end of February.
The Irish State has given 20 million euro in humanitarian support and assistance to the country, as well as health equipment and medical donations worth over 4.5 million euro.
In April, Simon Coveney became the first foreign minister of the UN Security Council to visit Kyiv, and met with Ukraine’s foreign minister Dmytro Kuleba and defence minister Oleksii Reznikov.
Mr Coveney also visited the town of Bucha on the outskirts of the capital, where suspected killings of civilians prompted global condemnation.