Prince Andrew viewed the spot where the liner, which sank in 1912 with the loss of more than 1,500 people, was prepared for sea.
Last year, the city marked the centenary of the vessel's sinking - one of the most tragic maritime disasters of all time - after the ship hit an iceberg in the North Atlantic.
The Duke also visited the pump-house where he met with a group of Young Innovators.
They have all completed the Generation Innovation programme which supports young people from the region, who have the highest potential to succeed in the new economy.
Earlier, Prince Andrew took a trip to the Northern Ireland Science Park (NISP) and innovation centre at nearby Queen's Island.
The park was established in 1999 as a self sustaining, internationally recognised knowledge based centre.
Home to over 110 organisations, around 2,000 people are employed at the park, generating an estimated £80m in salaries annually.
The Prince visited two firms within the Innovation Centre - Path XL, a global pioneer in the use of web-based solutions for digital pathology, and Sophia Research which specialises in semantic search and text analytics.
Later on Tuesday evening, the Duke attended a dinner at Hillsborough Castle marking the role of philanthropy in driving the economy. Also present were a wide-range of business leaders from across Northern Ireland.