The theft happened at a home in Armitage Road, Milnsbridge, between 10.50am and 1.10pm yesterday (Wednesday).
Police said six air guns, as well as photography equipment, were stolen and officers are now trying to trace the "realistic-looking" weapons.
Detective Inspector John Charlton, of Kirklees CID, said: "Any weapon in the wrong hands can pose a danger to the public so we are appealing for information to trace these gas powered air guns as quickly as possible.
"These are realistic looking and we would like to reassure the community that we are doing everything we can to track down these weapons."
Police are keen to trace a man who is described as white, in his 20s, of slim build and 5ft 5ins tall. He was wearing a baseball cap, a blue coloured top or jacket and trousers which are described as looking like overalls.
Det Insp Charlton added: "The suspect is believed to have been knocking on doors in the area during this time and we are urging anyone who saw this man or anyone who has information as to where these air guns may now be to contact police."
Anyone who has any information about the burglary or where the gas powered air guns may be is urged to contact Kirklees CID via 101, quoting 13170095827.