The group hit its initial £1.35m target on Crowdcube within the first day of opening the investment round last month.
It has raised a total of £3,499,340 from 1786 investors.
Grind, which has 11 London sites, plans to use the funding to open a further seven locations and buy a coffee and cocktail truck to take on the road to events and festivals this summer.
It will launch a restaurant at Broadgate Circle this month, followed by a site at South Bank Place later this year and a location in Canary Wharf in 2020.
Grind has also partnered with SSP to open a site each in London Bridge, Waterloo and Victoria stations in Q2-Q3 of this year.
In an update last week Grind co-founder and CEO David Abrahamovitch wrote that the company would look at launching an additional large format restaurant and bar if it hit its £3.5m target.
"We are currently in discussions about a very exciting opportunity which his currently off-plan, and this would give us the extra funding we’d need to complete on this - and build a bigger group, faster," said Abrahamovitch.