Sealed up in the 1980s, the tunnel was excavated by archaeologists in 2013. It was engineered by Benjamin Outram, and was modernised in the 1840s to accommodate a narrow gauge railway. The line continued to be used by steam engines until 1933.
Tony Calladine, from English Heritage, said Outram was "an important figure who greatly influenced the development of railways in Derbyshire and across England".
"He was one of the first to recognise the potential of railways to provide a nationwide transport system which would bind the country together and the Butterley Gangroad was where he first developed the ideas which were soon adopted across Britain," he said.
Crawshaw Woods Bridge was designed by Scottish engineer James Walker.
English Heritage said the bridge, which has been granted Grade II-listed status, was testament to one of the "Victorian’s greatest achievements" (railway networks).
A spokesman for English Heritage said: "Railways gave the Industrial Revolution its impetus and staying power, transforming the lives of millions, so this bridge is a key reminder of a momentous period in our country’s history."
