SUMMARY Displacement time-histories derived from accelerograms of three recent earthquakes in westernNorth America (Hector Mine, Mw7.1; Denali, Mw7.9; and San Simeon, Mw6.5) have been shown to feature large long-period (∼ 10 s) ground motion cycles. Such long-period displacements cause a localized peak within the displacement response spectrum that is currently not considered within any earthquake engineering design spectra. These displacement pulses have also been shown to be persistent and to feature on time-histories from widely-separated stations (∼ 20 km).Broadband and accelerometric data from the Les Saintes earthquake sequence of [2004][2005][2006] (4.9 ≤ Mw ≤ 5.3) recorded on Guadeloupe (French Antilles) are shown in this article to feature similar long-period motions. The broadband data is used to independently corroborate the displacement timehistories derived through high-pass filtering and double integration of accelerometric data. It is shown that high-quality broadband data is suitable for this purpose. The long-period motions observed cause a localized peak in displacement response spectra at periods between 5 to 10 s. It is suggested here * Correspondence to: BRGM -ARN, 3 avenue C. Guillemin, BP 36009, 45060 Orléans Cedex 2, France. The form of the displacement response spectra from these time-histories is significantly different from the spectral shape specified in recent seismic design codes since the peak in the spectra is at a much greater period than expected. This leads to an underestimation of spectral displacements for periods between about 5 and 10 s. Therefore if these observed long-period cycles are a common feature of earthquake ground motions the standard form of displacement design spectra may need to be reconsidered.