Recently,　Gabor　analysis　on　locally　compact　abelian　(LCA)　groups　has　interested　some　mathematicians.　The　half　real　line　Double-struck　capital　R+=(0,infinity)$$　{\mathbb{R}}_{+}=\left(0,\infty　\right)　$$　is　an　LCA　group　under　multiplication　and　the　usual　topology.　This　paper　addresses　spline　Gabor　frames　for　L2(Double-struck　capital　R+,d　mu)$$　{L}＜^＞2\left({\mathbb{R}}_{+},　d\mu　\right)　$$,　where　mu$$　\mu　$$　is　the　corresponding　Haar　measure.　We　introduce　the　concept　of　spline　functions　on　Double-struck　capital　R+$$　{\mathbb{R}}_{+}　$$　by　mu$$　\mu　$$-convolution　and　estimate　their　Gabor　frame　sets,　that　is,　lattice　sets　such　that　spline　generating　Gabor　systems　are　frames　for　L2(Double-struck　capital　R+,d　mu)$$　{L}＜^＞2\left({\mathbb{R}}_{+},　d\mu　\right)　$$.　For　an　arbitrary　spline　Gabor　frame　with　special　lattices,　we　present　its　one　dual　Gabor　frame　window,　which　has　the　same　smoothness　as　the　initial　window　function.　For　a　class　of　special　spline　Gabor　Bessel　sequences,　we　prove　that　they　can　be　extended　to　a　tight　Gabor　frame　by　adding　a　new　window　function,　which　has　compact　support　and　same　smoothness　as　the　initial　windows.　And　we　also　demonstrate　that　two　spline　Gabor　Bessel　sequences　can　always　be　extended　to　a　pair　of　dual　Gabor　frames　with　the　adding　window　functions　being　compactly　supported　and　having　the　same　smoothness　as　the　initial　windows.