We explore the quantum correlations (QCs) of two non-interacting two-level systems (qubits). Each qubit is embedded in an open cavity, the cavities are linked by an optical fiber and leak photons to the exter- nal environment. The quantum correlations are investigated via three different quantifiers (measurement- induced nonlocality, geometric quantum discord and negativity) under the effects of the coupling of the qubit-cavity and the fiber-cavity interactions as well as the cavity dissipations. It is found that the gen- eration of QCs and their sudden birth and death phenomena, depend not only on the qubit-cavity and fiber-cavity couplings, but also on the initial states. The robustness of the QCs against the cavity dissi- pations can be enhanced in the regime of the ultra-strong cavity-fiber coupling. We convey that it is possible to control the quantum correlations, as well as to reduce the effect of cavity dissipation.