This method seals in the juices and cooks the steak quickly, not allowing the steak to dry out. Below are step by step instructions on how to grill a new york strip steak. Grill Method: Direct grilling over high heat with the lid open. Grilling Time: About 8 minutes total for a 1 thick New York Strip steak. 1Approximately 45 minute before you are ready to grill your New York strip steaks, take them out of the fridge and rub in some garlic salt and fresh ground pepper. Leave them on the counter to let them warm to room temperature. 2Preheat the grill on high for direct grilling. 3Clean your grill with a grill brush.