In this paper, the stability in multicriteria location problems is considered. Given a family of parameterized multicriteria location problems, the (weak) Pareto optimal value/solution mapping is defined as the set-valued mapping which associates to each parameter value the set of all (weak) Pareto optimal values/solutions of the problem. Sufficient conditions for the upper and lower semicontinuity of the (weak) Pareto optimal value/solution mapping are obtained.