The cancellations include a single flight out of Houston's Bush Intercontinental Airport thus far.
VIDEO: Delta Air Lines lifts ground stop on flights
Officials said they expect normal operations to resume after the cancellations this morning.
Dave Holtz, vice president of operations and customer center, says they hope to have everything back to standard by mid-day Wednesday.
Travelers with Delta Air Lines are being asked to check their flights prior to heading to the airport.
The cancellations come two days after all flights were grounded, stirring tensions from Houston to London's Heathrow Airport.
Travelers in the UK say ticket booths were inundated as Delta employees had to issue paper tickets manually in some instances, taking more than an hour to meet with an agent.
The company says it will offer compensation to customers affected by the outage.
Delta will provide $200 in travel vouchers to travelers who experienced a delay of three or more hours, or whose flights were cancelled altogether.
Customers can go to the Delta Air Lines website for more information. All travel must be booked by August 8, 2017, the company says.