A precise determination of the charm-strange baryon Xi (+)(c) lifetime is presented. The data were accumulated by the Fermilab high-energy photoproduction experiment FOCUS. The measurement is made with 300 Xi (+)(c) --> Xi (-)pi (+)pi (+) decays, 130 Xi (+)(c) --> Sigma (+)K(-)pi (+) decays, 45 Xi (+)(c) --> pK(-)pi (+) decays and 58 Xi (+)(c) --> Lambda (0)K(-)pi (+)pi (+) decays. The Xi (+)(c) lifetime is measured to be 0.439 +/- 0.022 +/- 0.009 ps. (C) 2001 Elsevier Science B.V. All rights reserved.