League Cup semi-finalists Bradford lacked sharpness in front of goal as both sides settled for a point in an uninspiring match at the Globe Arena.
The visitors went closest in the first half when Barry Roche saved James Hanson's effort with his legs.
Roche kept out a long-range effort from Nahki Wells after the break and was again in the right place when Hanson wasted a great chance from six yards.
Sub Richard Brodie had Morecambe's best opening but headed over late on.
VIEW FROM THE DRESSING ROOM
Morecambe manager Jim Bentley told BBC Radio Lancashire:
"We're proving that we're hard to beat [at home].
"We knew we'd have to work hard and be strong because Bradford are doing well and they've got the confidence of the cup competitions.
"Both sets of players gave it their all. It wasn't great football-wise, but they certainly had a right good go at each other. A point was fair."