Intergenerational learning (IGL) is the process of bringing seniors and juniors together in a collaborative space. Universities have been known to create a stimulating context for generations to share and acquire skills. The purpose of this paper is to present the results of research in the field of intergenerational learning and skills sharing. The topic is important as the ideas of teacher-student (T-S) and teacher-teacher (T-T) collaboration based on the principles of interdependence and reciprocity between generations have become acute in the era of the information society when the generation gap is widening. Learning Management System (LMS) projects are believed to enforce human development and collaboration of adults and young learners in universities. The paper dwells upon the importance of needing to be aware of peculiarities of human development in applying IGL policies to education. Better understanding of such internal psychological factors as motivation, creativity and intelligence will allow the level of generation integration and knowledge creation to rise. The paper proposes the idea that LMS training sessions and LMS products as a virtual platform can be effective tools for intergenerational learning collaborations. In this paper we are mainly interested in presenting the results of the projects aimed at increasing ICT competence of teachers. The description of the LMS programs, project outcomes and the LMS product itself are given in the paper. We think that LMS projects can be an effective and proper platform of intergenerational e-learning in universities.