Tranmere Rovers have made it back-to-back wins in the National League with a 4-1 triumph at Gateshead.
Goals from Liam Ridehalgh, Ritchie Sutton, Michael Ihiekwe and Matt Hill were enough to help the Merseyside outfit into second spot behind Eastleigh, who struck late against Boreham Wood to maintain their place at the top.
Chester FC and Forest Green Rovers have also reached six points after they registered 1-0 victories over Halifax Town and Welling United respectively.
Two goals from Andy Monkhouse helped Grimsby Town to a 4-1 win at home to Barrow, while Lincoln City also sit on four points after a Matt Rhead double guided them to a 3-1 success away at Braintree Town.
Guiseley were the only newly-promoted side not to win on the opening day of the campaign, but they have made amends with a narrow 1-0 triumph over Altrincham.
Wrexham overturned a half-time deficit to beat Torquay United 3-1 at the Racecourse Ground, with Dover Athletic also getting their first win on the board after Stefan Payne netted seven minutes from time to earn his team a 3-2 victory against Kidderminster Harriers.
Cheltenham Town must wait for their first victory since dropping down from the Football League after being held to a goalless draw by Aldershot Town.
Two goals from John Goddard earned Woking a 2-0 win at home to Bromley, while 10-man Macclesfield Town drew 0-0 with Southport.
Results in full: Braintree Town 1-3 Lincoln City, Cheltenham Town 0-0 Aldershot Town, Dover Athletic 3-2 Kidderminster Harriers, Eastleigh 1-0 Boreham Wood, Halifax Town 0-1 Chester FC, Forest Green Rovers 1-0 Welling United, Gateshead 1-4 Tranmere Rovers, Grimsby Town 4-1 Barrow, Guiseley 1-0 Altrincham, Macclesfield Town 0-0 Southport, Woking 2-0 Bromley, Wrexham 3-1 Torquay United
