In　this　paper,　we　investigate　the　problem　of　estimating　the　directions-of-arrival　(DOAs)　and　ranges　of　multiple　near-field　narrowband　sources　impinging　on　a　symmetric　uniform　linear　array　(ULA).　By　forming　a　Toeplitz-like　correlation　matrix　from　the　anti-diagonal　elements　of　the　array　covariance　matrix,　a　convex　optimization　problem　for　the　resultant　Toeplitz-like　matrix　reconstruction　is　established　and　further　a　gridless　sparsity-based　localization　for　near-field　sources　is　proposed.　The　DOAs　can　then　be　retrieved　by　using　the　recovered　correlation　matrix　according　to　root-MUSIC　or　Vandermonde　decomposition　theorem.　Additionally,　the　ranges　are　obtained　through　a　subspace-based　estimator　with　the　corresponding　estimated　DOAs,　while　the　association　of　the　estimated　DOAs　and　ranges　are　completed　at　the　same　time.　Finally,　the　numerical　examples　are　provided　to　substantiate　the　performance　of　our　proposed　method,　and　the　simulation　results　demonstrate　that　the　proposed　method　provides　remarkable　and　satisfactory　estimation　performance.　©　2020　IEEE.