Fluid stratification in density is a central ingredient of the dynamics of the oceans which deeply modifies turbulence by allowing internal waves to propagate in the bulk of the fluid. In this framework, the so-called Wave Turbulence Theory is a major avenue to model the oceanic small scales. The predictions however remain uncertain and have not been validated yet in laboratory experiments where a genuine wave turbulence regime in a stratified fluid has not yet been reached. The M2 internship and the following PhD thesis will consist in running a new experimental setup aiming at reaching this wave turbulence regime in a stratified fluid to test the theoretical predictions.