In giant magnetostrictive transducer, Young modulus of the core considerably alters with changing its magnetic level. Young modulus change in Terfenol-D core has the highest value. This effect, changes the resonance frequency and mode shapes of the transducer. This subject in Terfenol-D resonance transducer is studied in this paper. For this purpose, a resonance Terfenol-D transducer has been designed and fabricated. Node locations in the transducer are considered to add pre-load and bias mechanisms. Effect of Young modulus change on resonance frequency and mode shape were studied both analytically and by ANSYS FEM software. Range of resonance frequency change in the first mode is 1000 Hz and in the second mode is 100 HZ. Mode shapes changes are limited for both modes. In 40kA/m magnetic field bias, Results from analytical and FEM simulation were verified with experimental results. Resonance frequency in this bias is 3100 Hz for the first mode and 8252 Hz for the second mode. Results have acceptable agreement with experimental results. Moreover, in this bias magnetic field, impedance responses between first and second modes are compared. Results show that selecting second mode is preferable for reducing disturbance of Young Modulus change on vibrational behavior.