We obtain an exact solution of Einstein's equations for a charged, static and
spherically symmetric body, surrounded by a fluid of strings and with a
cosmological constant. This corresponds to the Reissner-Nordstr\"om (de
Sitter)-Anti de Sitter black hole surrounded by a fluid of strings. Some
aspects concerning the horizons and geodesic motion are discussed. We also
obtain the metric corresponding to the Kerr-Newman black hole surrounded by a
fluid of strings, by using a method to construct the rotating solution from its
counterpart static one. The horizons, ergoregions, and geodesic motion are
analyzed. In both cases, the role played by the fluid of strings was pointed
out.