Oxford returned to the top of the Blue Square Premier on goal difference as Kidderminster's unbeaten run under new boss Steve Burr continued.
Despite being unable to find a winner, the U's regained top spot after Stevenage lost 1-0 at Tamworth.
The home side suffered a late scare but Ryan Clarke managed to prevent Damian Spencer's shot creeping over the line.
And Jack Midson had a chance to secure victory for Oxford but his shot was well saved by Dean Coleman.
The U's may feel aggrieved as former Kidderminster striker James Constable had two strong penalty appeals turned down in the first half.
Harriers boss Burr will be delighted to have seen his side grab a draw at an Oxford team heavily tipped for promotion to the Football League this season.
Since taking over on 21 January, Burr has seen his side draw at Crawley and Oxford as well as convincingly beating Grays and progressing to the last eight of FA Trophy after overcoming local rivals Worcester City.
Kidderminster will travel to the Kassam Stadium for a second time this season for their FA Trophy quarter-final tie on 20 February.
Kidderminster manager Steve Burr told BBC Hereford & Worcester:
"Last time I came here with Northwich we lost 5-0 and we didn't win here with the England C team either so it has not been a very lucky ground for me.
"I thought the lads did quite well but it was just there was a bit of anxiety in the second half when we gave the ball away a lot.
"We caused our own problems but those are things we can work on at the training ground."
Oxford Utd: Clarke, Batt, Day, Wright, Tonkin, Potter (Hargreaves 58), Bulman, Clist (Midson 74), Cook (Matthew Green 58), Deering, Constable. Subs Not Used: Turley, Creighton.
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