The Rojillos relinquish their first half lead as the Tenerife side deservedly travel home with a point.
Centre back Chucky Pierce gave Lanzarote the lead with a header on the stroke of halftime.
Lanzarote had a couple of occasions to extend their one goal advantage but a mixture of good defending and poor finishing led to the Rojillos getting nervous.
Santa Úrsula persevered and had a great chance to level midway through the second half when a header hit the post and away to safety.
The visitors finally got their reward in the 77th minute when a powerful strike from the edge of the box by Jorge left Rojillos keeper Alejandro with no chance to level at 1-1.
It wasn’t a bad performance from Lanzarote but it did lack desire. It was only in the final five minutes that they mounted pressure on the Tenerife defence.
Lanzarote remain unbeaten but now slip to fourth spot with the three teams above them clear by just a single point.
Next week Lanzarote travel to Tenerife to face third from bottom side CD Marino.
1-0 min 45 Chucky Pierce
1-1 min 77 Jorge