The works involve dredging the lower and outer sections of the river and the construction of a 385-metre "passing box" for vessels.
Hamburg's growth was significantly higher than the 3.4 per cent average achieved by rival port in Rotterdam and Antwerp.
Hamburg's strong performance over the reporting period was attributed to the port's container terminals winning four new transatlantic services operated by Hapag-Lloyd and ONE and the commencement of four complementary Baltic feeder services, reported London's Loadstar.
From January to September, Hamburg handled 439,000 TEU on container services to the US, Canada and Mexico, which was 336,000 TEU higher than the year before.
"Including the existing liner services, we can offer port customers 14 direct links with 29 ports in the US, Mexico and Canada," said port of Hamburg marketing joint-chief executive Ingo Egloff. "An additional 15 feeder and liner services in the first nine months provides a clear indication that the port of Hamburg is now even more attractive for shipping and shippers."
It has been calculated that mega ships calling at Hamburg will be able to exchange an extra 1,800 TEU of cargo per visit when draught restrictions are eventually lifted.
The number of calls of by ultra large container vessels (ULCVs) at the port with slot capacities of 18,000 TEU-plus surged by 18 per cent from January to September, to 123 vessels.
The regeneration of Hamburg's transshipment business has also been impressive, with a total of 2.6 million TEU transhipped from deepsea vessels to feeders, representing an increase of 4.3 per cent.
Also over the first nine months of the year, the port's intermodal rail traffic grew by 12 per cent year on year to 2.06 million TEU.