The land at the site was in the mid-1880s part of F. J. Koch's market gardens.

The street was created when he started to sell the land off in lots to members of the higher middle-class for house construction.

The last market gardens, on the east side of the street, disappeared in 1895.

It now houses the head office of the London Toast Theatre.

[8][9] The corner building at Kochsvej 44-46 / Vesterbrogade 176 is from 1888 and was built by master builder O. Strassen,[10] The corner building on the other side of the street (Kochsvej 35-37 / Vesterbrogade 174) is from 1899 and was constructed by master builder P.

[11] The corner building at Frederiksberg Allé 53/Kochsvej 2 is from 1904 and was designed by Ole Boye in collaboration with Ludvig Andersen.

[16] The Frederiksberg Allé metro station is located just east of the northern end of the street.