en عمومى General پژوهشي Research paper Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$. Frame, K-operator frame, C^*-algebra, Hilbert C^*-modules. 1 9 http://ijmsi.ir/browse.php?a_code=A-10-2681-1&slc_lang=en&sid=1 M. Rossafi rossafimohamed@gmail.com 10031947532846009209 10031947532846009209 Yes LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, Morocco S. Kabbaj samkabbaj@yahoo.fr 10031947532846009210 10031947532846009210 No Laboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco