A valve opening and closing timing control apparatus which restrains generation of hitting sound in a case where a driven-side rotation member and a driving-side rotation member rotate relative to each other by an electric actuator includes a phase adjustment mechanism of a gear type specifying a relative rotation phase between the driving-side rotation member which rotates synchronously with a crankshaft and the driven-side rotation member which rotates integrally with at least one of an intake camshaft and an exhaust camshaft by a driving force of the electric actuator, the phase adjustment mechanism causing a revolution of a position of an eccentric axis about a rotation axis by the driving force of the electric actuator so that an input gear connected to the driven-side rotation member via an Oldham coupling rotates relative to an output gear fixed to the driven-side rotation member, a groove portion in a linear form and a protruding portion in a rectangular form in the Oldham coupling slidably engaging with each other between the driving-side rotation member and an Oldham ring, a groove portion in a linear form and a protruding portion in a rectangular form in the Oldham coupling slidably engaging with each other between the Oldham ring and the input gear.