No, Derek Shepherd never proposes to Meredith Grey in the television series Grey's Anatomy.
While their relationship is full of love, passion, and commitment, Derek proposes to Meredith in the season 2 finale, but Meredith rejects his proposal. She explains that she is not ready to commit to marriage, as she is still dealing with the death of her mother and other personal struggles.
Later, in season 8, Derek does propose again after Meredith's mother passes away. This time, Meredith accepts and they get married in a beautiful ceremony.
Although the initial proposal was rejected, Derek's persistence and love for Meredith ultimately led to a happy ending for the couple.