Cuernavaca is the Capital City of the State of Morelos, Mexico. Located only 45 minutes from Mexico City (one hour and thirty minutes from the international airport) by the way of the Mexico-Acapulco expressway. Actually world-wide known as "The City of Eternal Spring" due to its excellent temperate climate with an annual average of 20ºC.
La Barranca del Amanalco, a very pretty city park, is just a little north/west of the Mercado and basically directly north of the Zocolo.
Jardin Borda is really something not worth visiting for $30pesos because it's just a very tired old garden and little else. It's not well maintained at all. However it is free on Sundays
Etnobotanico ( herb garden ) in the colonia of Acapantzingo just
a little south/east of downtown, also includes the 'La Casa de
la India Bonita' from the days of Maximillion.