British Athletics has announced both men have been omitted from its world-class performance programmes for 2017.
Former Olympic and two-time world 400m champion Christine Ohuruogu, 32, will no longer get top-level podium funding.
Former Olympic heptathlon champion Jessica Ennis-Hill, who retired last month, has also dropped off the funding list.
So have sprint hurdler William Sharman, 1500m runner Laura Weightman and 800m runner Andrew Osagie.
Welshman Greene, 30, became world champion in 2011 but has been plagued by injury in recent seasons.
Dasaolu, who dropped to relay funding last year, has been cut completely despite being part of the squad which won European gold in July.
He could only make the semi-finals of the Rio Olympics and was then dropped from the team for the 4x100m relay final.
The 29-year-old became the second-fastest Briton over 100m when he ran 9.91 seconds in 2013 and became European champion the following year.
In addition to the 15 athletes on the Olympic podium programme, there are 23 on the Paralympic one.
There are 29 athletes on the Olympic podium potential programme, with 24 joining the Paralympic equivalent.
A further 27 athletes are funded as part of the relay squads.