On his arrival, Dr. Keith Rowley greeted delegates at the Jose Marti International Airport in Havana, Cuba.
In Cuba, the Heads will engage in discussion on the challenges of sustainable development, climate change and peace in the Region.
The Prime Minister said he looked forward to the Summit.
"I come to continue building on the relationship between the people of Trinidad and Tobago and Cuba, a relationship which has always been and continues to be very strong. We look forward to this conference of the Heads of the ACS and to contribute and expect that it will be very successful so that we can continue to build our regional relationships."
The Prime Minister also praised the contributions of Cubans in Trinidad and Tobago, particularly in the health sector.
The Summit takes place from June 2nd-4th. Minister Colm Imbert is Acting Prime Minister in Dr. Rowley's absence.