Abstract: Investigating the convergence of some selected properties on block predictor-corrector methods and its implementation will be considered. This investigation will provide some justification and theorems that guarantee the convergence of the method. Some aspects of the block predictor-corrector methods to be investigated includes order, convergence and implementation. However, predictor-corrector methods attracts a lot of computational benefits which guarantees step size variation, convergence criteria (stopping criteria) and minimizing error. Again, existence and uniqueness of the method will be recognized. Implementation of this approach will depend on the principal local truncation error on a pair of predictor-corrector method of Adams type formulas either in P(EC)m or P(EC)m mode.