Getting from Shinjuku to Shibuya by train is one of the easiest and most frequent journeys in Tokyo. The most direct and popular route is the JR Yamanote Line (the famous green circular loop). You simply board a southbound train on the Yamanote Line (Platform 14 at Shinjuku Station), and the ride takes only 7 minutes across just three stops: Yoyogi, Harajuku, and then Shibuya. Another fast option is the JR Saikyo Line or the Shonan-Shinjuku Line, which often takes only 5 minutes because they skip the intermediate stops, though they depart from different platforms (usually Platforms 1-4). If you are closer to the Shinjuku-sanchome area, you can also take the Tokyo Metro Fukutoshin Line (subway), which reaches Shibuya in about 7 minutes. The cost is approximately 170 to 200 yen regardless of the line. Because these trains run every 2 to 4 minutes during the day, you never need to check a timetable; you can simply tap your Suica or Pasmo card at the gate and hop on the next available train.