Rod connector (2) for the transverse connection of two spinal rods (4a, b), - with two clamps (14), which in a state of assembly, partially embrace fixing a spinal rod (4a, b) respectively, - with a traverse (11) that locally fixes the clamps (14) mutually and that comprises two legs (10) arranged in each of the clamps (14) and a connecting piece (8) crossed by the two legs (10) with a locking device (31) acting on both legs (10) and producing a friction closure with blocking effect between the legs (10) and the disconnecting part (8), - with a spring device (47) for the clamp ( 14), the force of the spring (F) being so small that the clamp (14) can be fitted manually on the spinal rod (4a, b) being slidable on it in the assembled state and being able to separate from it, - with a device of fixing (53) for the clamp (14) independently operable by the mu device elle (47), the clamping force (H) being so large that in the assembled state the clamp (14) is firmly fixed on the spinal rod (4a, b), characterized in that the connecting piece (8) has a frame (20) to receive the first leg (10) and a ball (22) rotatably mounted on the frame crossed by the second leg (10).Conector de varilla (2) para la conexión transversal de dos varillas espinales (4a, b), - con dos abrazaderas (14), que en un estado de montaje, abrazan parcialmente fijando una varilla espinal (4a, b) respectivamente, - con una traversa (11) que fija localmente las abrazaderas (14) mutuamente y que comprende dos patas (10) dispuestas en cada una de las abrazaderas (14) y una pieza de conexión (8) atravesada por las dos patas (10) con un dispositivo de bloqueo (31) que actúa sobra ambas patas (10) y produciendo un cierre por fricción con efecto bloqueante entre las patas (10) y la pieza desconexión (8), - con un dispositivo de muelle (47) para la abrazadera (14), siendo la fuerza del muelle (F) tan pequeña que se puede encajar manualmente la abrazadera (14) en la varilla espinal (4a, b) siendo deslizable sobr