It means the Cumbernauld outfit must face Alloa Athletic, who finished fourth in Division Two, in the first leg of the semi-final play-off on Wednesday.
Clyde
: Hutton, Masterton, Higgins, Bestvina, William Gibson, McKay, James Gibson (Wilson 36), Ruari MacLennan, Albertz (Michael McGowan 46), McSwegan (Arbuckle 48), Clarke.
Subs Not Used: Bradley, Cherrie.
Booked
: Wilson, McKay.
Goals
: McSwegan 44, Clarke 46, 83 pen.
Stirling
: Christie, Nugent, Devine (McBride 55), Graham, Ellis, Harris (Cramb 71), Bell, Aitken, Taggart, McKenna (Murphy 79), Rodriguez.
Subs Not Used: Hay, Hogarth.
Booked
: Graham, Bell, Murphy.
Ref
: C Murray