Purpose: The purpose of this paper is to show that numerous studies have advanced social capital research over the past decade. Most studies have accepted the theoretical distinction between bonding and bridging social capital networks. Many, however, tend to agglomerate empirical research under the one catch‐all social capital concept, rather than classifying it according to the bonding/bridging distinction. Furthermore, most studies make little distinction on the basis of methodology, between qualitative and quantitative approaches to investigating social capital. These omissions need to be addressed.Design/methodology/approach: This paper reviews definitions and applications of bridging and bonding social capital, classifies empirical studies according to each network type, and produces a further breakdown according to methodological approach.Findings: The result is a four‐part “grid” of social capital research, encompassing bonding and bridging, and quantitative and qualitative aspects. This paper finds that most qualitative research examines non‐excludable and excludable goods and is relevant to bonding social capital, whilst most quantitative analysis looks at civic networks and norms of trust, and relates to bridging social capital.Research limitations/implications: Results advance the task of clarifying and measuring social capital.Practical implications: Further development of the bridging/bonding social capital conceptual pair should allow for a more precise measurement of a community, or region.Originality/value: No review paper to date captures the above empirical and methodological “grid” clearly.

The problem of integrating non-Western immigrants into Western welfare states is the focus of this paper. To address this issue, we suggest a social capital approach in which we apply the conceptual pair of bridging social capital (BR), which connects an individual to the broader social structure, and bonding social capital (BO), which closely binds an individual to his or her narrow social group. By this we hope to grasp both the sunny and the more shadowy side of network cooperation and trust in relation to the integration of immigrants. Our data, on non-Western immigrants in Denmark, show a positive relationship between the levels of bridging and bonding capital, suggesting that bonding social capital in the immigrant group does not seem to impede the establishment of the bridging social capital needed for integration.