The　one-dimensional　van　der　Waals　(1D　vdW)　material　fibrous　red　phosphorus　(FRP)　nanotubes　are　a　promising　direct-bandgap　semiconductor　with　high　carrier　mobility　and　anisotropic　optical　responses　because　of　low　deformation　potential　and　dangling-bond-free　anisotropic　interface.　Employing　first-principles　calculations,　we　captured　the　potential　of　1D　FRP　nanotubes.　The　thermal　stability　of　1D　FRP　nanotubes　was　confirmed　by　phonon　calculation.　Meanwhile,　Raman　spectroscopy　indicated　the　strong　vibration　mode　(366　cm-1)　is　along　the　phosphorus　nanotube.　Interestingly,　spatial　anisotropy　bandgaps　were　found　along　with　various　stacking　orientations.　The　charge　transport　calculations　showed　that　the　1D　FRP　nanotube　has　a　high　hole　mobility　(499.2　cm2　V-1　s-1),　considering　the　weak　acoustic　phonon　scattering.　More　importantly,　we　found　that　the　hole　mobility　changes　dramatically　(down　to　7.1　cm2　V-1　s-1)　under　the　strain,　and　the　strain-dependent　charge　transport　property　of　1D　FRP　nanotubes　could　be　considered　to　have　many　potential　applications　for　electronics,　optoelectronics,　and　switching　devices.