A Bird Trap is a Survival item used to catch the 3 flying birds, Red Birds, Crows, and Snowbirds. Traps can be baited with seeds to speed up the hunt, though it is not a requirement. A Bird Trap is crafted using 3 Twigs and 4 Silk and requires a Science Machine to prototype. Using a Feather Hat will increase the amount of birds landing to speed up the process.
It would appear that, as of the "Strange New Powers" update, there is a chance a trap will fail to catch a bird and simply break, leaving the bird that triggered the trap lying on the ground for a very brief time before flying away. The failed trap can still be picked up and reset, but this still costs one durability use. It is currently unknown whether the chance of a trap failing is based on a certain probability, bird type, or player proximity.
Following the 13th December update, Feathers and Morsels can no longer be acquired directly using the trap. Instead, murdering the bird while it is in the inventory is now necessary.