Abstract: This paper studies the enumeration of bisingular planar maps,provides the enumerating equations satisfied by enumerating functions with the valency of root-vertex,the number of singular edges and loops and the number of edges of maps as parameters.Moreover,some explicit expressions  are also derived and the parametric solution to the former is presented.

Key words: bisingular map, enumerating function, enumerating equation, Lagrangian inversion