The acquisition will see the City Cruises brand expand from its current operations in London and Poole to 25 boats in three locations.
York River Boats Cruises will be renamed City Cruises York.
City Cruises has seen an overall increase in revenue of 6% in 2016-17, compared with the previous year.
This rise can be attributed to several factors, the brand said.
A private hire service introduced in 2015 delivered 168 private hires in 2016-17, generating a 17% increase in revenue and the company’s programme of themed cruises has also gone from strength to strength.