Background: Testing of muscle strength is important for assessing performance and guiding diagnosis, rehabilitation, wellness, and prevention programs. While isometric or isokinetic testing is considered the gold standard for assessing muscle strength, it is often impractical in settings outside the research laboratory, although more advanced clinics may have these devices. One repetition maximum (RM) testing using elastic bands is a valid alternative, but the high joint and muscle loads of maximal muscle testing can be uncomfortable for people with musculoskeletal pain and it may therefore not reach true maximal values. Consequently, submaximal testing using elastic bands is warranted. Purpose: The purpose of this study is to verify the association between the number of repetitions and intensity (relative shoulder joint torque) for estimation of maximal muscle strength based on submaximal elastic band testing. Study design: Cross-sectional study was conducted among healthy adults. Methods: During 4 separate sessions, 9 male participants performed 1RM testing of unilateral shoulder abduction using elastic bands (TheraBand ® CLX) and repetitions to failure at 3 submaximal levels. Associations between the number of repetitions and intensity were assessed using regression analyses. Results: On the basis of the 3 submaximal levels, the association between the number of repetitions and intensity could be very closely fitted using both first-and second-order polynomials with an explained variance of >98%. The first-order polynomial provided the best estimate of 1RM (i.e. 100% intensity) with a formula intensity of À1.1628 Â Repetitions þ 98.8 (R 2 = .98). Conclusion: During shoulder abduction using an elastic band, the association between repetitions and intensity could be fitted by a simple first-order polynomial. Combined with information on the color of the TheraBand CLX and the height and weight of the person, the aforementioned association can be used to estimate the maximal muscle strength of the shoulder (i.e. maximal shoulder joint torque) based on a submaximal test. Clinical relevance: The possibility of estimating the maximal muscle strength from submaximal tests is pertinent for populations with functional limitations and impairments. In addition, this testing provides a safe alternative to coaches, clinicians, and physiotherapists who are aiming to prescribe training and/or rehabilitation using simple, inexpensive, and reliable equipment.