Yeovil battled back from being two goals down to score two goals in the last eight minutes.
The draw secures The Glovers' League One status for another season.
Kevin Lisbie scored twice for Orient, before Andy Williams (82) and Jon Obika (90) rescued a point for Gary Johnson's men.
Yeovil Town won for a club record 8th time in a row. Exeter City beat Accrington on Friday night, but Plymouth Argyle and Torquay both lost.
Exeter City picked up a club record tenth away win of the season. There were also wins for Yeovil Town and Plymouth Argyle.
Yeovil Town won for the fifth game in a row after a 3-0 win over Brentford. There were draws for Exeter and Plymouth, but Torquay lost 2-1.