Existence of positive solutions for a coupled system of nonlinear three-point boundary value problems of the type [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], is established. The nonlinearities [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are continuous and may be singular at [inline-graphic not available: see fulltext], and/or [inline-graphic not available: see fulltext], while the parameters [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] satisfy [inline-graphic not available: see fulltext]. An example is also included to show the applicability of our result.