Adolf Hitler was appointed Chancellor of Germany on 30 January 1933. This appointment was made by President Paul von Hindenburg, who invited Hitler to form a government after the Nazi Party (NSDAP) had become the largest party in the Reichstag through the elections of 1932, though without winning an outright majority.
Hitler's rise to the chancellorship was the culmination of years of political manoeuvring during the Weimar Republic's final crisis. Germany was suffering from the effects of the Great Depression, with mass unemployment and political instability. Traditional conservative politicians believed they could control Hitler by placing him in a coalition government, but this proved to be a fatal miscalculation. Within months of becoming Chancellor, Hitler consolidated power through the Reichstag Fire Decree (February 1933) and the Enabling Act (March 1933), effectively dismantling democratic governance and establishing a totalitarian dictatorship.
The year 1933 is therefore the correct date. Hitler was not yet Chancellor in 1930 or 1931, and by 1934 he had already moved beyond the chancellorship to declare himself Fuhrer following Hindenburg's death in August of that year, merging the offices of President and Chancellor.