Two new bands built on the two-quasiparticle $π(h_{11/2})^2$ configuration of the even-even nucleus 130Ba are investigated using constrained triaxial covariant density functional theory combined with quantum particle rotor model calculations. The energy difference between the two bands, as well as the available electromagnetic transition probabilities $B(M1)_{\text{out}}/B(E2)_{\text{in}}$ and $B(E2)_{\text{out}}/B(E2)_{\text{in}}$, are well reproduced. In this work, the analysis of the angular momentum geometry reveals that the higher band represents transverse wobbling motion of a two-quasiparticle configuration. This is the first example of two-quasiparticle wobbling bands in an even-even nucleus.