Southern League Premier Division outfit Arlesey Town have been handed a first-round tie away to 1987 winners Coventry City in the FA Cup.
Meanwhile, 2008 champions Portsmouth will host League One rivals Notts County.
Isthmian League side Metropolitan Police, who won 3-0 away at South Park in yesterday's fourth qualifying round, have been rewarded with a home tie against Crawley Town.
Bradford Park Avenue will travel to Doncaster Rovers.
First round draw in full:
Kidderminster Harriers vs. Oldham Athletic
Hayes & Yeading or Boreham Wood vs. Brentford
Chelmsford City or East Thurrock vs. Colchester United
Metropolitan Police vs. Crawley Town
Luton Town vs. AFC Telford United or Nuneaton Town
Portsmouth vs. Notts County
Bishop's Stortford vs. Hastings United
Fleetwood Town vs. Bromley
Forest Green Rovers or Dartford vs. Port Vale
Torquay United vs. Hyde or Harrogate T
AFC Bournemouth vs. Dagenham & Redbridge
Morecambe vs. Rochdale
Swindon Town vs. Macclesfield Town
Cambridge City vs. Milton Keynes Dons
Cheltenham Town vs. Yate Town or Newport County
Dorchester Town vs. Plymouth Argyle
Coventry City vs. Arlesey Town
York City vs. AFC Wimbledon
Bury vs. Exeter City
Chesterfield vs. Hartlepool United
Doncaster Rovers vs. Bradford Park Avenue
Gillingham vs. Scunthorpe United
Aldershot Town vs. Hendon
Lincoln City or FC Halifax Town vs. Walsall
Wrexham vs. Alfreton Town
Southend United vs. Stockport County
Crewe Alexandra vs. Wycombe Wanderers
Bristol Rovers vs. Sheffield United
Hereford United vs. Shrewsbury Town
Mansfield Town vs. Slough Town or Gosport Borough
Barnet vs. Oxford United
Rotherham United vs. Stevenage
AFC Fylde or Ilkeston Town vs. Accrington Stanley
Gloucester City vs. Leyton Orient
Burton Albion vs. Altrincham
Guiseley vs. Barrow
Northampton Town vs. Bradford City
Preston North End vs. Yeovil Town
Braintree Town vs. Tranmere Rovers
Carlisle United vs. Ebbsfleet United
The ties will be played over the weekend of November 3/4.