Airport spokesman Reese McCranie said the threats were received against Delta and Southwest flights coming from Portland and Milwaukee respectively.
Reese McCranie said both planes had landed safely and had been evacuated.
Two US fighter jets escorted the planes into the Hartsfield-Jackson International Airport. The airport later said no bombs were found.
In a tweet, Atlanta airport officials wrote: “All clear for both aircraft & normal airport operations have resumed. Thank you for your patience. Safety & security are our top priorities.”
The bomb threats were made online – reportedly on Twitter.
A bomb squad and sniffer dogs were involved in the police search after the planes landed.
Southwest said in a statement: “Our top priority is the safety of our customers and employees. We cannot comment on the nature of the security situation.”
Reuters quoted Southwest as saying that 86 passengers were on board the flight, and that they were being re-screened.
There was no immediate comment from Delta officials.
The busy Hartsfield-Jackson International Airport is home to Delta, serving nearly 100 million passengers.
This is not the first airport bomb scare in the US this week.
On January 19, New York’s JFK airport was at the centre of another threat, involving at least one aircraft. No bomb was found.
zC-beIiViVAImage source: Wikimedia Commons President-elect Donald Trump celebrated his election victory at the Ultimate Fighting…
Millions of voters across the US chose to return Donald Trump to the White House…
Donald Trump declares victory in the US election as he addresses jubilant supporters in Florida.…
Stocks around the world are rising as Donald Trump appears to be on the cusp…
Donald Trump has won Pennsylvania, North Carolina and Georgia and taken a lead over Kamala…
Quincy Jones, the celebrated musician and producer who worked with Michael Jackson, Frank Sinatra, Ray…