British High Commissioner Dominic Asquith, a descendant of Herbert Asquith, prime minister from 1908 to 1916, on Saturday followed suit at the Jallianwala Bagh walled garden, where bullet marks are still visible.
The massacre is one of the incidents that will always remain as a black mark in British India history.
Amarinder Singh also exhorted the Prime Minister not to exploit the martyrdom of the victims of the violence unleashed by the British during the freedom struggle or of the soldiers dying every day at the borders or in ISI-backed terror attacks such as Pulwama to further his and his party's political ambitions.
"Today, when we look at the hundred years of the heinous Jallianwala Bagh massacre, the memory of the martyrs inspires us to work even more for India, which they will be proud of".
Revisiting the event, its causes and aftermath, the nuanced exhibition explores what we remember, how we remember it, and what we have forgotten, in India and the UK, Manchester Museum said in a statement.
The Jallianwala Bagh massacre has found prominence in the United Kingdom parliamentary agenda in recent months as both the House of Lords and Commons held debates to mark the centenary.
Members of the film industry, including Amitabh Bachchan, Sunny Deol, Bhumi Pednekar and Madhur Bhandarkar, also paid tributes to the martyrs.
"The events of Jallianwala Bagh 100 years ago today reflect a shameful act in British-Indian history".
He later defended his decision not to say sorry, explaining that the massacre happened 40 years before he was born and saying: "I don't think the right thing is to reach back into history and to seek out things you can apologise for".
The Congress leader said that while Modi was busy in his usual, dirty political games, he was at the memorial for the state-level event marking the centenary.
May, however, stopped short of offering a formal apology.
Asked why an apology was not tendered by the British government, Asquith said, "I know this is a really important question".
"My own great grandfather, who was the prime minister for nearly a decade, had referred to this as one of the worst outrages in our whole history", he said.
The massacre became a symbol of colonial cruelty and for decades Indians have demanded an apology from Britain, including during Queen Elizabeth's visit to Amritsar in 1997.
Residents of the city, tourists, visitors, top government officials and students took part in the candle lit evening march from a building called Townhall to the massacre site.
Earlier the Punjab chief minister slammed MP Harsimrat Kaur Badal on her hypocrisy about commemorating Jallianwala Bagh, saying that her husband's ancestors had organised a lavish dinner to celebrate the massacre.