In a large resealable plastic bag, combine the ginger, garlic, sesame oil, honey, soy sauce, and lime juice and mix thoroughly. Add the steak and turn to coat. Marinate in the fridge overnight for better result.
Bring the steak to a room temperature for 15 minutes before grilling.
Heat a lightly oiled large cast iron pan to medium high heat. Remove steak from the marinade, shake off excess and put steak into the pan. Cook 6 to 8 minutes per side.
Transfer to a cutting board and let stand for 10 minutes before slicing.