The coaches reached the pier near the depot at Diabari on Wednesday, said MAN Siddique, managing director of Dhaka Mass Transit Company Limited.
The work to unload the coaches from the vessels will begin on Thursday morning, he said.
The Kobe-based Japanese company Kawasaki also shipped the second set on Wednesday, he said.
The 24 sets of 144 coaches are expected to arrive in time, the managing director of the government firm said.
Final trials will be held after tests.
Achieving the first target now depends on the trials, said Siddique.
The body of the railcars is made of light and durable stainless steel, Kawasaki said earlier in a statement.
The rolling stock is equipped with indoor and outdoor CCTV cameras to check the status of passengers and platforms during one-man operation.
Besides these, each car features two large-capacity air-conditioning units enabling a comfortable commute amid high temperature and humidity.