BY FLIGHT: First you choose flights there only three flights come to Srinagar i.e. Indigo, Jet Airways ,Air India . These flights are direct and take 9 hours to reach with one stop in New Delhi.
BY TRAIN : There is also option to come by train. There are two trains one is Jammu Tawi Express and second is Himgiri Express. Jammu Tawi Express operates all days in a week & another operates only 03 days i.e. Tuesday , Friday & Saturday, but train drops you at Jammu Tawi Railway the distance is 2000 kms & take approx 2 days to reach Jammu and than you choose taxi for further journey.
BY ROAD : There is no bus service or operator from Kolkata to Jammu Kashmir. You take bus from Kolkata to Delhi ISBT & than take another Bus from ISBT Kashmiri Gate Delhi to Jammu Bus stand the approx distance is 600 kms & it will take 11 hours approx to reach Jammu by road. In Jammu there are various option to reach Kashmir you take local sharing Cabs local bus service and individual cabs . Bus service operates in the night only you take Volvo buses as well as local buses from Jammu Bus stand & rest services like individual taxi & sharing cabs you take from exit point of Railway station , Jammu Bus stand & Gumat chowk they operates whole day. The distance between Jammu to Kashmir is approx 300 Kms & it will take 8 to 10 hours to reach Kashmir.