The Bajan popstar achieved the feat after 'We Found Love', featuring Calvin Harris, won its sixth week at the head of the singles chart, while new album Talk That Talk has also gone straight to number one, selling over 160,000 copies in its first week of release.
Rihanna previously did the same in January, when 'What's My Name', featuring Drake, and Loud topped the singles and albums chart respectively.
The last act to do the chart double twice in a year were T Rex, whose single 'Metal Guru' and album Bolan Boogie were simultaneous number ones in May 1972, three months after 'Telegram Sam' and Electric Warrior achieved the same.
Rihanna also becomes the first solo female artist to rack up two UK number one albums in the same year, equalling the record of Michael Jackson, REM, Elton John, Blondie and Robbie Williams, and to have six number one singles in five consecutive years.
She also still currently holds the record for most weeks at number one in the UK singles chart in 2011 with seven, which is one week away from equalling the Spice Girls' career total.
Watch the video for Rihanna's chart-topping single 'We Found Love' below: