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. Bristol Rovers also won, Cheltenham drew and Bristol City lost in the Severnside derby.
There were wins today for both Bristol clubs and Yeovil Town. Swindon Town could only draw and Cheltenham Town slipped to defeat.
Bath have beaten West Country rivals Gloucester 32 - 5 in the LV= Cup.