The paper deals with the modeling of Tesla’s transmitter by using the wire antenna theory approach. The radiating part of the Tesla’s transmitter is represented by an equivalent monopole antenna excited by an ideal current source replacing the Tesla’s transformer. The formulation is based on the frequency domain homogeneous Pocklington integrodifferential equation. Solving the Pocklington equation numerically via the Galerkin Bubnov variant of the Indirect Boundary Element Method (GB-IBEM) [4] current distribution along the equivalent monopole antenna is obtained. Knowing the current distribution along the monopole antenna the radiated electric field is readily obained integrating the induced current along the wire. Some illustrative numerical results for the antenna current and related field is presented in the paper. This work should be regarded as an opener to this subject, i.e. the first step in the full wave model of the Tesla’s transmitter.