With a reputation for exceptional value, Costco Travel packages come with perks and savings that are hard to find elsewhere. By calling the official Costco Travel phone number (1-877-677-3763), members can access personalized assistance to find unbeatable deals tailored to their travel preferences. and why calling (1-877-677-3763) can enhance your travel planning experience. call the official Costco Travel phone number (1-877-677-3763). Experienced travel advisors are ready to help you book exclusive deals with personalized service.