The technique of resonant strain modulation has been applied for the first time to the modulation of optical transitions occurring between levels of the 4f shell of lanthanide ions. This allows changes in signal strength of typically 0.01% of the maximum spectral line height, which results from spectral line shifts smaller than 10-²/(kg/mm²), to be easily detected. After a full description the method is used to obtain the orbit lattice parameters dB₀²/dδ of Pr³⁺ in CaF₂ and SrF₂ hosts. On the assumption of a local cubic lattice these are found to be (-4.5 ± 1.5) x 10 cm and (-5.4 ± 1.0) x 10 cm respectively. The shifts of some optical transitions of CaF₂:Er³⁺are also presented. Application of the method to shifts of the vibronic sided bans of MeF₂:sm²⁺, polarisation studies of the no phonon f-d transitions of Sm²⁺, and to Er³⁺ and Sm²⁺ in different site symmetries, is also discussed.