The first ever primate astronaut was Albert, a rhesus monkey, who on June 11, 1948, rode to over 63 km (39 mi) on a V2 rocket. Albert died of suffocation during the flight and never reached the Karman line of 100km.

However, Albert was followed by Albert II, another Rhesus Monkey, who survived the V2 flight but died on impact on June 14, 1949, after a parachute failure. Albert II became the first monkey in space as his flight reached 134 km (83 mi) - past the Kármán line of 100 km taken to designate the beginning of space.

Martine, a Pig Tailed Macaque, was the first primate the French launched into space in 1967.

Abrek and Bion were launched by the Russians in 1983 aboard Bion 6.

More Info: en.wikipedia.org