Lithuanian language is quite in an early stage of language processing. And therefore has a high demand on automated tools like taggers, parsers, word sense disambiguators etc. During the last 10 years only a few researchers were attempting to create a parser for Lithuanian language. However none of them are used in practices nowadays. The process of designing and implementing rule based parser for Lithuanian language is presented in this paper. Rules and constraints of the formal grammar follow the principles of Dependency Grammar. Necessary language recourses were made up at the Computational Centre of Linguistics. Research area analysis and overview of the most popular methodologies is presented here as well. Syntax parser of the Lithuanian language was evaluated against the Gold Standard and gave 80,2 % of accuracy of in recognizing parts of the sentence.