Martin Hope Sutton emphasizes the importance of stillness and silence in knowing God, sharing a personal experience of how he discovered the profound voice of God within him when he quieted his heart and mind. He highlights the necessity of tuning out the noisy distractions of the world to hear the gentle whisper of the Holy Spirit guiding and comforting us. Sutton illustrates that through stillness, we receive spiritual nourishment, strength, and wisdom, enabling us to face life's challenges with the peace and vitality that come from God.