Lionel Mathis was sent off late on for the hosts, but neither side could find a winning goal.
© Getty Images
Lille came close to an opener just after the half-hour mark when a cross found its way to the edge of the box, but Jonathan Delaplace's low strike was deflected just wide of the near post and into the side-netting.
The visitors had a brilliant chance to take the lead just before the break, but Salomon Kalou managed to send his header wide from just four yards out.
The hosts were forced to play the final eight minutes of the match with 10 men, as Mathis was given his marching orders after picking up a second yellow card.
The point lifts Lille above third-placed AS Monaco and they are now four points behind league leaders Paris Saint-Germain, while Guingamp sit eighth.