This contribution reveals some structural properties and differences of the Czech and Slovak labour markets. A small search and matching model incorporated into standard DSGE model is estimated using Bayesian techniques. Two sources of rigidities were implemented: wage bargaining mechanism and "search and matching" process matching workers and firms. The results show that search and matching aspect provides satisfactory description of employment flows in both economies. Model estimates provide interesting evidence that wage bargaining process is determined mainly by the power of the firms. These results support the view of flexible wage environment in both economies. On the other hand, the firms are confronted by the increasing vacancy posting costs that limit vacancies creation. Relative low separation rate provides evidence of reduced mobility of the workers.