A protest urging people to "Stand together. Be heard. Create change" failed to materialise.
The event, planned for Winchester, Salisbury, and Basingstoke, was scheduled for the evening of May 6, but no one turned up.
A poster circulated widely on social media, encouraging people to gather in 70 towns and cities across the UK at 7pm.
The poster, which bore the messages "Your voice. Your future. Be there. Make a difference. Peaceful. Respectful. Together," did not identify a creator or an organiser, and no group has claimed responsibility for it.
However, it was shared by several social media users, including Tommy Robinson, the founder of the English Defence League.
In a post, Robinson said: "The whole of the United Kingdom is hitting the streets tonight at 7pm following yet another invader attack on our people. It's time."
The unrest comes after a series of violent incidents, including the killing of 18-year-old student Henry Nowak in Southampton by 23-year-old Vickrum Digwa, who was later jailed for life.
Another incident in Belfast, which left a man seriously injured, has added to rising tensions.
A man in his 30s has been charged with attempted murder and other offences related to the Belfast incident.
Protests did take place in Belfast, with businesses advised to close early, and streets closed due to riots; however, the publicised locations in Winchester, Salisbury, and Basingstoke remained quiet at the scheduled protest time of 7pm.
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