A mosaic of untwinned YBa2Cu3O7-delta single crystals was studied bq muon spin rotation, The flux-line lattice in these crystals was found to be pinned, This pinning then It uds to disorder in the lattice. Bn estimate of the average relative breathing mode lattice displacement delta l/l was found to br about 0.8%, comparable to that found for twinned samples. The origin of the pinning in these crystals may be oxygen vacancies.