PROBLEM TO BE SOLVED: To provide a method which preserves a liquid medicine for long time while suppressing the liquid medicine from deteriorating.SOLUTION: In a method of the present invention, a liquid medicine is preserved inside an oxygen-absorbing container that partly or entirely uses an oxygen-absorbing multilayered solid that includes a thermoplastic resin layer containing a thermoplastic resin and an oxygen-absorption layer containing an oxygen-absorbing composition. The oxygen-absorbing composition contains at least one chemical compound that contains a tetralin ring having a specific structure, a transition-metal catalyst, and a thermoplastic resin.