I will discuss a method of including NLO QCD corrections to the hard process in the LO Monte Carlo (MC) shower. The method is based on the new MC factorization scheme, which dramatically simplifies the NLO coefficient functions. The NLO corrections are introduced by a simple reweighing of the events produced by the LO shower, with a single, positive MC weight. I will show a practical implementation of the method for the case of electro-weak boson production in the hadron-hadron collision and compare it with the well established approaches to NLO+PS matching. I will also briefly discuss the perspectives of using the new method to include NLO corrections in the ladder part.
