A crossbow pistol and bolts were among the items stolen from a house in Ilkeston.
The break-in happened at a property in Haddon Street, and saw a range of items taken from inside.
The crossbow pistol – a small crossbow with a trigger mechanism – was taken along with a compound bow and arrows.
Also stolen was a 42in black Hitachi television, a Panasonic Lumix DSLR camera, and an Xbox 360 games console.
The house was unoccupied for a number of days around the time of the break-in, which happened at the beginning of May.
Officers want to hear from anyone who might have been offered the crossbow pistol, the compound bow or any of the electrical items, in the last few weeks.
Witnesses or anyone with information should call DC Bali Chahal on 101, quoting reference 17000193639.
Alternatively, send her a message online by visiting www.derbyshire.police.uk/Contact-Us.
You can also call Crimestoppers on 0800 555 111.