Three‐dimensional finite element models were developed to study modes of vibration in apples. The apple models were created using two mathematical equations, in which the geometry of the apple was described by a four‐parameter equation and the core structure by an exponential function. Modal analyses were performed to identify the vibrational modes and to study the effects of material properties, structure (i.e., the skin and core), shape, and size on them. There were three classes of vibrational modes in apples: torsional, spheroidal, and nonaxisymmetric. A majority of modes between 0 and 2000 Hz belonged to the nonaxisymmetric class. The square of natural frequency was linearly related to Young's modulus of the apple. The presence of apple skin could increase the natural frequency by 7% for torsional modes and less than 4% for spheroidal modes. As the elastic modulus of the core was doubled, the natural frequency increased by up to 7% for spheroidal modes and well below 1% for torsional modes. The natural frequency for the first mode of each class decreased by no more than 8% as Poisson's ratio was doubled. Apple shape had a large effect on the natural frequencies of all three mode classes; spheroidal modes, however, were less affected by apple shape. The natural frequencies decreased with increasing apple size, but use of the firmness index f2m2/3, where f is the natural frequency and m is the mass of the apple, minimized the size effect.