Carrying out high-quality training in the conditions of quarantine restrictions puts forward new actual tasks for carrying out practical laboratory works and activities. Model of Implementation Online-Education Systems for Educational Process Supporting at the high education institutions and schools has been discussed. The problem of the development software of virtual laboratory work is relevant, because preparing high-quality virtual laboratory work is a time-consuming task for the natural sciences. E-learning laboratory work are mainly remote and should be integrated with Learning Management System for more effective learning process. A set of three hierarchical models with learning objectives, level of complexity and specificity have been taking into account in the implemented Learning Management System. Learning objectives in the cognitive, affective and sensory domains are related with Blooms taxonomy.