The fourteen brightest OB stars of the Trumpler 37 Cluster have been o
bserved in the V, R, I, J, H, K photometric bands. These have been use
d to derive accurate measurements of the quantity R-V = A(V)/E(B - V).
Different from previous studies it is found that < R-V > in Trumpler
37 is close to the mean interstellar value of 3.1. Most of the reddeni
ng towards Trumpler 37 is found to be of foreground origin. This is co
nsistent with the lack of variations, observed by us, of R-V with the
projected distance from the center of the cluster. In two highly redde
ned stars of the cluster, whose reddening is certainly mostly local, t
he observed R-V is lower than the mean interstellar value of 3.1. This
is to be compared with the behaviour of the Trapezium stars in Orion,
whose R-V is quite above such value whereas the age of the cluster is
similar to the one of Trumpler 37.