The truck crashed through a brick wall and plunged 40ft down onto the roof of the train.
A spokesman for Hanson UK said its concrete was being carried in the lorry, which is owned by Kingman Services, a haulage company. He said the driver was also employed by Kingman.
A total of 39 passengers were assessed at the scene but did not need further treatment.
Removal of the concrete truck and the train is likely to be tricky, a spokesman from Network Rail said: "I don't know if the train is still working, If we can't get power to it, the train won't be able to move."
As a result of the challenges faced face faced in removing the wreckages from the line, there are likely to be travel problems for many thousands of commuters attempting to get to work by rail and or road.
A number of rail services in the area are not expected to be back to normal until sometime on Monday at the earliest, and several roads are also likely to remain closed.