Access to bank finance is necessary to create an economic environment that enables Small and Medium-sized enterprises (SMEs) to grow and prosper. The SMEs in Sri Lanka, however, face significant constraints to access bank finance. The purpose of this paper is to investigate the access to bank finance and related issues in the SME sector of Sri Lanka. The paper is exploratory in nature and reviews the bank financing situation for SMEs in Sri Lanka, as well as provides an overview of constraints faced by the banks (supply-side) and SMEs (demand-side). The paper also highlights some good practices in SME lending from international experience and outlines some recommendations to help overcome the constraints faced by the banks and SMEs. The recommendations discussed in this paper may be of importance to policymakers, not only in Sri Lanka, but in many other developing countries in a similar stage of economic growth.