A string-breaking model for φφ production in the process π−p→φφn is discussed. In this model, the ‘‘sequential-pair-creation’’ model, it is assumed that the φφ pair is produced by ss¯ pairs created sequentially: uū→s1s¯1→s1(s¯2s2) s¯1→(s1s¯2)(s2s¯1)→φφ. The second ss¯ pair is produced from the breaking of the QCD ‘‘string’’ joining the first ss¯ pair. When compared with experiment, the model appears to have problems in describing the data of Lindenbaum et al., and it helps to invoke Breit-Wigner resonances. The cross section for φφ production obtained from the model indicates that the experimental data may reflect the effects of some sort of enhancement.