Soon, companies will be able to get a data plan for their drones.

Verizon Communications Inc. said Thursday it would begin working with drone makers to connect the flying vehicles to Verizon’s wireless network. Drone data plans will start at $25 a month for 1 gigabyte of data and $80 for 10 gigabytes, company officials said in an interview. The prices roughly align with what consumers pay now for data.

Initially,...