The so-called fourth industrial revolution or Industry 4.0 (I4.0), with its potentially disruptive technologies, is changing the way we socialise, live and work and provides opportunities for organisations to innovate and disrupt. Although organisations are acknowledging the emergence of I4.0 and realise the importance of being ready for its impact, better understanding is required of the potential of I4.0 and its holistic impact on organisations. In this paper, we conducted a systematic literature review to identify all I4.0-related organisational aspects, such as an I4.0-relevant strategy, digital business model innovation, technology investment optimisation, workforce management complexity, digital eco-systems, technology-centric convergence, virtual model and physical environment linkage, value chain digitalisation and product portfolio innovation. Furthermore, we presented these I4.0 organisational aspects identified in a conceptual model based on the components of organisational strategic alignment. By using such a conceptual model, organisations can ensure that both optimisation and new opportunities enabled by I4.0 are leveraged and that a relevant, strategically aligned approach to I4.0 may be considered.