Leicester last won in the league when they beat Bristol City on 18 February
Leicester's winless run stretched to seven Women's Super League games after being held by second-bottom West Ham.
The Irons started brightly when Riko Ueki sent a low drive past Janina Leitzig after being slipped in by Japanese compatriot Honoka Hayashi to hand them a 13th-minute lead.
West Ham had looked vulnerable before taking the lead, which was cancelled out in the 36th minute when Sophie Howard nodded in a powerful header from a Jutta Rantala corner.
The result left Leicester 10th in the league, three points ahead of their hosts.
Both sides showed promise in an open game, but neither were able to find the cutting edge on the counter-attack.
Rantala was Leicester's main catalyst going forward as she spotted chances to open gaps in the West Ham defence and made creative clever runs, but her efforts weren't enough to direct the Foxes to victory.
West Ham almost went back in front in the second half when Viviane Asseyi nodded a Jessica Ziu delivery just wide of the post, but it was Leicester who looked the most likely to grab a winner.
Janice Cayman bundled a loose ball over the line, but the goal was disallowed as Lena Petermann fouled Hayashi in the build-up.
Saori Takarada then had a close-range volley expertly parried away by West Ham goalkeeper Mackenzie Arnold, while Yuka Momiki also had an effort palmed clear by Arnold.
Leicester continued to ramp up the pressure, but could not find a way past the impressive Arnold.
