Dartford are one of just two clubs left with a 100 per cent record in Blue Square Bet South.
They beat Hampton and Richmond 2-1 thanks to goals from Charlie Sheringham and Elliot Bradbrook.
"I'm very pleased with the start," said manager Tony Burman. "But there are three really tough games coming up."
Welling are still unbeaten after winning 4-1 at Farnborough, Tonbridge beat nine-man Eastleigh 4-0 but Dover lost for the first time this season.
Welling's victory makes it two wins and a draw from their first three games.
Andy Pugh netted his third and fourth of the season at Farnborough, Luis Cumbers and Loick Pires also scoring.
Frannie Collin repayed manager Tommy Warrilow for giving him his first start of the season with two goals for Tonbridge who won 4-0 for the second Saturday running.
Warrilow chose Collin, who had been out with an ankle injury, over crowd favourite Jon Main.
"I'm glad we sent the fans home happy," said Warrilow.
"Tey were a big physical side, but once we got the first goal it relaxed us and we got into our stride a bit more."
Dover's winning start ended with a 1-0 defeat at league new boys Truro.
Dover were not helped by a first-half injury to goalkeeper Lee Hook and a red card for defender Tom Wynter.
Margate started their Ryman Premier Division season with a 1-1 draw at Wealdstone, going ahead through a seventh minute own goal.
Hythe Town's first game in the Ryman League was a 3-0 defeat to Godalming.
But, elsewhere in Ryman South, there were wins for Folkestone, Sittingbourne, Ramsgate and Whitstable.
Folkestone's opening day win was with one of the youngest sides manager Neil Cugley has ever fielded for the club.
"We had no Roland Edge, Darren Smith, Paul Jones and Jim Dryden," said Cugley, "so we were without the experienced players.
"Walton and Hersham probably deserved a point in the end but I'm pleased with that."
The new Kent Invicta League began on Friday night with a 4-0 win for Phoenix Sports over Erith and Dartford Town.
Results - Friday, 19 August
Kent Invicta League Erith/Dartford Town 0-4 Phoenix Sports
Saturday, 20 August
Blue Square Bet South Bromley 0-1 Maidenhead Dartford 2-1 Hampton/Richmond Farnborough 1-4 Welling United Tonbridge Angels 4-0 Eastleigh Truro City 1-0 Dover Athletic
Ryman Premier Division Wealdstone 1-1 Margate
Ryman Division One South Eastbourne Town 0-1 Sittingbourne Faversham Town 0-1 Worthing Folkestone Invicta 2-1 Walton/Hersham Godalming Town 3-0 Hythe Town Maidstone United 0-3 Whitehawk Ramsgate 1-0 Crawley Down Walton Casuals 2-3 Whitstable Town
Ryman Division One North Maldon/Tiptree 0-1 Chatham Town Thamesmead Town 0-4 Heybridge Swifts
FA Cup Preliminary Round Banstead Athletic 3-0 Woodstock Sports Beckenham Town 3-1 Littlehampton Corinthian 4-3 Dorking Erith/Belvedere 2-0 St Francis Erith Town 6-2 Crowborough Greenwich Borough 1-2 Horley Mole Valley 2-3 Lordswood Pagham 1-2 Herne Bay Ringmer 0-2 Deal Town Sevenoaks Town 4-0 Ash United Shoreham 3-1 Holmesdale Tunbridge Wells 1-0 Warlingham VCD Athletic 1-1 Bookham
Kent Hurlimann League Premier Division Cray Valley 1-4 Canterbury City
Kent Invicta League Crockenhill 1-0 Sutton Athletic Hollands/Blair 1-0 Ashford United Lydd Town 1-3 Bridon Ropes Meridian 5-0 Rusthall Orpington 1-2 Bearsted Seven Acre 0-2 Bly Woodstock Park 1-2 Lewisham Borough
Haart of Kent County League Premier Division Bredhurst 1-0 Sheerness East Charlton Athletic Community 2-1 Snodland Farnborough OBG 2-1 APM Contrast Fleet Leisure 0-1 Eltham Palace Staplehurst Monarchs 0-3 Greenways Tudor Sports 4-0 Tonbridge Invicta
Sunday, 21 August
Ryman Premier Division Cray Wanderers v Hornchurch
Tuesday 23 August
Blue Square Bet South Dover v Dartford Eastbourne v Bromley Welling v Tonbridge
Ryman Premier Division Concord v Cray Margate v Aveley
Ryman Division One South Corinthian Casuals v Folkestone Hythe v Faversham Sittingbourne v Ramsgate Whitstable v Maidstone
Ryman Division One North Brentwood v Thamesmead Chatham v Harlow
Kent Invicta League Bearsted v Lydd Phoenix Sports v Meridian Rusthall v Crockenhill Sutton v Hollands and Blair
Wednesday 24 August
FA Cup Extra Preliminary Round Bookham v VCD Athletic
Kent Invicta League Ashford United v Woodstock Park Bly v Orpington Bridon Ropes v Seven Acre Lewisham v Erith and Dartford
Haart of Kent County League Belvedere v Fleetdown United
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