The attack in June came just months after 22 people, mostly tourists, were gunned down at the National Bardo Museum outside the capital Tunis in March.
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Tunisian authorities have arrested 150 people to date over the Sousse attack.
The two terrorist attacks on foreign tourists in Tunisia have been officially linked by British police. This includes 15 who have been charged with terrorism offences.
In the aftermath of the Sousse attack, Tunisian officials said Rezgui trained in neighbouring Libya at the same time as two attackers, Yassine Labidi and Saber Khachnaoui, who targeted the Bardo museum.
Scotland Yard said there is “strong” evidence of a connection between the killings, which left a total of 60 people, including 31 Britons, dead.
Tunisia declared a state of emergency and launched a crackdown on militants following the Sousse attack. British, Japanese, French, Italian and Colombian tourists were among the 22 killed.
Metropolitan Police counter-terrorism officers say they are now connecting the two attacks based on evidence.
“I can not go into further details regarding this live investigation”, he added, saying that British officers were working closely with Tunisian authorities and had informed them of the connection.
Scotland Yard provided an update on the massive investigation launched in the wake of the beach murders.
Britain has a responsibility to help Tunisia in the fight against terrorism, the country’s prime minister has said, claiming the UK is partly to blame for the “chaos” in Libya following military intervention four years ago.
A number of witnesses have referred to a second gunman wearing red shorts.
Mr Walton said Tunisian authorities have deployed “significant resource” into the investigation.
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“Detectives are in the process of examining more than 370 photographic and video files from mobile devices which have been provided by many witnesses to the atrocity”, the statement said. Authorities said it could take 18 months before they are tried.
