Stranraer made it 10 goals in two games thanks to braces from Stuart McColm and Christopher Aitken.
Aitken opened the scoring for the home side with a superb free-kick but Annan levelled when Scott Gibson thrashed home from close range.
McColm netted again but Annan were gifted a penalty when Frank Mckeown handled - Aaron Muirhead converting.
McColm's powered home a brilliant 20-yard effort and Aitken stroked in a penalty for his fifth of the season.
Stranraer: David Mitchell, Kane, Durnan, McKeown, Noble, Shepherd, Christopher Aitken, Daniel Mitchell, Gallagher (Winter 69), Malcolm (Murphy 84), McColm (Moore 77). Subs Not Used: Marshall, Cochrane.
Goals: Christopher Aitken 29, McColm 55, 71, Christopher Aitken 83 pen.
Annan Athletic: Summersgill, McGowan (Jordan Atkinson 83), Peter Watson, Gibson, Muirhead, McKechnie, Jardine, Gilfillan, Sloan (MacBeth 73), Harty (Steele 60), O'Connor. Subs Not Used: Mitchell, Neilson.
Goals: Gibson 44, Muirhead 64 pen.
Ref: Don Robertson