An engagement between a connecting element and a front fork which has a crown portion and two shock absorbing devices are connected to the crown portion respectively, each one of the shock absorbing devices connecting to a connecting tube and the connecting tube connecting to an extending leg, each of the connecting tubes having a first support and a second support extending radially therefrom and the first and the second supports having a first and a second threaded holes respectively defined therein, a connecting element having two side plates and each of which having a first and a second holes defined therein and having a first and a second recesses defined in a surface facing to the first and the second supports so as to respectively receive the first and the second supports therein, a bolt extending through the first hole, the first recess and being engaged with the first threaded hole, a rod extending through the second hole, the second recess and being threadedly engaged with the second threaded hole by a threaded end of the rod, a brake arm pivotally engaged to the other end of the rod.