In our paper we compute the energy distribution of a magnetic stringy black hole solution in the Weinberg prescription. The metric under consideration describes the dual solution in the string frame that is known as the magnetic stringy black hole solution. The metric is obtained by multiplying the electric metric in the Einstein frame by a factor e−2Φ. The energy distribution depends on the mass M and charge Q. Also, we make a discussion of the results and we compare our result with those obtained in the Einstein and Landau and Lifshitz prescriptions and investigate the connections between the expressions of the energy obtained in these prescriptions.