A speed change gear apparatus for an automobile transmission including a shift lever having its one end pivotally connected with one end of a control rod, the other end of which is connected with one end of a control shaft extending from a transmission through a joint; the apparatus comprising a pair of support members in the form of links of an oscillation isolating material, one end of the support links being rigidly or pivotally connected with a car body while their other end carry a shift lever housing which supports the shift lever in suspension in a pivotal manner, and a support rod disposed substantially in parallel relationship with the control rod, the support rod having its opposite ends pivotally connected with the shift lever housing and the transmission, respectively.