Marc Skinner's side took the lead in the first half, after excellent work from Leah Galton and Ella Toone down the left saw the former power the ball home.
Despite United dominating the early stages of the second half, Laura Coombs was on target to head home City's equaliser on the hour mark.
The match deserved more goals than it got, with both sides showing much attacking vigour and commitment to go for all three points. This result means United stay three points ahead of our neighbours and just two points below league leaders Chelsea.
The derby commenced in tense fashion, with United enjoying the opening spells of possession.