The dataset in this article includes magneto-rheological parameters of an extra heavy Colombian crude oil (8.5°API) in the presence of a static magnetic field. Considering the availability of this type of data is limited, the parameter values for Shear Rate, Shear Stress, Viscosity, Rotational Speed, Torque and Viscosity for three temperatures, i.e., 30, 50 and 70 °C, are hereby included in detail. The shear rate was systematically varied from 1 to 100 [s-1]. In the same way, another data set was obtained by applying a magnetic field of 0.17, 0.35 and 0.65 T (this parameter is also known as magnetic flux density or magnetic induction, in Teslas [T]). Enough experimental data for each temperature, were gathered, to generate the magneto-rheological curves for the extra heavy crude oil samples, with and without the presence of a static magnetic field.