Burrell was overlooked by head coach Eddie Jones for this year’s Six Nations, but the 28-year-old scored a try in Sunday’s 27-13 win over Wales at Twickenham.
Burrell back has been selected ahead of Bath centre Ollie Devoto, who won his first cap in the game against Wales.
“It’s a great opportunity for Luther, who I thought played really well yesterday,” said Jones.
“He carried the ball well, defended with aggression and scored an excellent try.
“It was a tough selection call. Ollie Devoto has really impressed during his recent time in the England camp.
“We wish him a successful tour to South Africa with the Saxons.”
England fly out to Australia tomorrow (Tuesda) and play the first of three Tests against the World Cup runners-up in Brisbane on Saturday, 11 June.
The call-up is a huge boost for Burrell, who has been out of the England picture since being dropped from the World Cup squad last year.
He will join up with four Saints club-mates for the tour, with the others being Dylan Hartley, Courtney Lawes, Paul Hill and Teimana Harrison.