Great emphasis has been placed on agriculture by the European Union (EU), considering that agricultural production provides a framework for development of the processing industry and ensures food provision. Europe 2020 Strategy presents coordinated objectives of support for the rural development for the years 2014–2020. It has been emphasized that each Member State needs to set its national headline targets. Implementation of strategic provisions of the EU and Lithuania requires adequate identification of the priorities of agricultural scientific research and experimental development. It may significantly contribute to securing competitiveness, economic and social progress of the agricultural sector. The aim of the research was to prepare proposals for the Lithuanian Programme that sets the scientific research and experimental development priorities, long- and short-term research programmes for the period until 2020 in the view of demands of economy. Individual Working Groups (WG) have been formed of specialists of Lithuanian research and educational institutions as well as the advisory services. WG have proposed prospective applied research to develop within different areas of agriculture in 2014–2020. This served as the basis for the survey aimed at identifying a general demand for applied scientific research and potential problem areas in relation to agriculture, food economy and rural development that could be addressed by prospective applied scientific research. An anonymous survey was used across the country and summary results have been presented for two areas: crop management and agricultural engineering.